Advertisement
| advances in theoretical and mathematical physics: Mathematical Physics in Theoretical Chemistry S.M. Blinder, James E. House, 2018-11-26 Mathematical Physics in Theoretical Chemistry deals with important topics in theoretical and computational chemistry. Topics covered include density functional theory, computational methods in biological chemistry, and Hartree-Fock methods. As the second volume in the Developments in Physical & Theoretical Chemistry series, this volume further highlights the major advances and developments in research, also serving as a basis for advanced study. With a multidisciplinary and encompassing structure guided by a highly experienced editor, the series is designed to enable researchers in both academia and industry stay abreast of developments in physical and theoretical chemistry. - Brings together the most important aspects and recent advances in theoretical and computational chemistry - Covers computational methods for small molecules, density-functional methods, and computational chemistry on personal and quantum computers - Presents cutting-edge developments in theoretical and computational chemistry that are applicable to graduate students and research professionals in chemistry, physics, materials science and biochemistry |
| advances in theoretical and mathematical physics: Advances in Theoretical and Mathematical Physics , 2004 |
| advances in theoretical and mathematical physics: Advances in Theoretical and Mathematical Physics , 2000 |
| advances in theoretical and mathematical physics: Diverse Topics in Theoretical and Mathematical Physics Roman W. Jackiw, 1995 In this volume, topics are drawn from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics, and concern a variety of interesting subjects. These include geometricalDtopological effects in quantum theory, fractional charge, time travel, relativistic quantized fields in and out of thermal equilibrium and quantum modifications of symmetry in physical systems.Many readers will find this a useful volume, especially theoretical physicists and mathematicians. The material will be of interest to both the expert who will find well-presented novel and stimulating viewpoints of various subjects and the novice who will find complete, detailed and precise descriptions of important topics of current interest, in theoretical and mathematical physics. |
| advances in theoretical and mathematical physics: Recent Developments In Theoretical Physics Subir Ghosh, Guruprasad Kar, 2009-11-13 This volume covers recent developments in the major areas of theoretical physics. The scope of the book ranges from small length scale (High Energy Physics, Neutrinos …) through medium scale (Nuclear Physics) to large length scale (Condensed Matter Physics) up to classical and quantum Black Hole Physics. It also deals with topics in nonlinear physics, econophysics, new ideas in quantum mechanics, quantum information and quantum computation. |
| advances in theoretical and mathematical physics: Quantum Field Theory and Gravity Felix Finster, Olaf Müller, Marc Nardmann, Jürgen Tolksdorf, Eberhard Zeidler, 2012-02-08 One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area. |
| advances in theoretical and mathematical physics: 40 Years In Mathematical Physics Ludvig Dmitrievich Faddeev, 1995-10-09 This is a collection of Prof L D Faddeev's important lectures, papers and talks. Some of these have not been published before and some have, for the first time, been translated from Russian into English. The topics covered correspond to several distinctive and pioneering contributions of Prof Faddeev to modern mathematical physics: quantization of YangߝMills and Einstein gravitational fields, soliton theory, the many-dimensional inverse problem in potential scattering, the Hamiltonian approach to anomalies, and the theory of quantum integrable models. There are also two papers on more general aspects of the interrelations between physics and mathematics as well as an autobiographical essay. |
| advances in theoretical and mathematical physics: Mathematics And The Natural Sciences: The Physical Singularity Of Life Giuseppe Longo, Francis Bailly, 2011-03-04 This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work.The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations.Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level./a |
| advances in theoretical and mathematical physics: Many-Body Problems and Quantum Field Theory Philippe Andre Martin, Francois Rothen, 2013-11-11 This text is a revised and augmented version of a course given to graduate and Ph.D. students in the context of the doctoral school for physics in the French-speaking part of Switzerland. This doctoral school provides a common teaching program for the universities of Bern, Fribourg, Geneva, Neuchatel and Lausanne, as well as for the Swiss Federal Institute of Technology in Lau sanne. The scope of the course should be sufficiently general to interest both experimentalists and theoreticians wishing to engage in research in condensed matter or nuclear and particle physics. The prerequisites are an introductory course to quantum mechanics and elements of classical electromagnetism and statistical mechanics. Our main concern was how to maintain a reasonably broad level of know ledge for students with different orientations, in a world of research where the price of survival is extreme specialization and competitiveness. Is it still possible in the available time to provide a cultural education in physics by relatively elementary means and in an optimized form? We believe that this is an essential pedagogical duty. Attempting to meet this challenge has de termined the conception of this book: each individual part of it is standard and without novelty but should belong, in our opinion, to the basic culture of every physicist; only their common organization in a single house of decent siz;e might possibly be put to our credit. |
| advances in theoretical and mathematical physics: 30 Years Of The Landau Institute - Selected Papers Isaak M Khalatnikov, Vladimir P Mineev, 1996-08-15 The Landau Institute for Theoretical Physics was created in 1965 by a group of LD Landau's pupils. Very soon, it was widely recognized as one of the world's leading centers in theoretical physics. According to Science Magazine, the Institute in the eighties had the highest citation index among all the scientific organizations in the former Soviet Union. This collection of the best papers of the Institute reflects the development of the many directions in the exact sciences during the last 30 years. The reader can find the original formulations of well-known notions in condensed matter theory, quantum field theory, mathematical physics and astrophysics, which were introduced by members of the Landau Institute.The following are some of the achievements described in this book: monopoles (A Polyakov), instantons (A Belavin et al.), weak crystallization (S Brazovskii), spin superfluidity (I Fomin), finite band potentials (S Novikov) and paraconductivity (A Larkin, L Aslamasov). |
| advances in theoretical and mathematical physics: Mathematics for Physicists Alexander Altland, Jan von Delft, 2019-02-14 This textbook is a comprehensive introduction to the key disciplines of mathematics - linear algebra, calculus, and geometry - needed in the undergraduate physics curriculum. Its leitmotiv is that success in learning these subjects depends on a good balance between theory and practice. Reflecting this belief, mathematical foundations are explained in pedagogical depth, and computational methods are introduced from a physicist's perspective and in a timely manner. This original approach presents concepts and methods as inseparable entities, facilitating in-depth understanding and making even advanced mathematics tangible. The book guides the reader from high-school level to advanced subjects such as tensor algebra, complex functions, and differential geometry. It contains numerous worked examples, info sections providing context, biographical boxes, several detailed case studies, over 300 problems, and fully worked solutions for all odd-numbered problems. An online solutions manual for all even-numbered problems will be made available to instructors. |
| advances in theoretical and mathematical physics: Not Even Wrong Peter Woit, 2011-08-31 Not Even Wrong is a fascinating exploration of our attempts to come to grips with perhaps the most intellectually demanding puzzle of all: how does the universe work at its most fundamnetal level? The book begins with an historical survey of the experimental and theoretical developments that led to the creation of the phenomenally successful 'Standard Model' of particle physics around 1975. Despite its successes, the Standard Model does not answer all the key questions and physicists continuing search for answers led to the development of superstring theory. However, after twenty years, superstring theory has failed to advance beyond the Standard Model. The absence of experimental evidence is at the core of this controversial situation which means that it is impossible to prove that superstring theory is either right or wrong. To date, only the arguments of the theory's advocates have received much publicity. Not Even Wrong provides readers with another side of the story. |
| advances in theoretical and mathematical physics: Mathematical Methods Of Theoretical Physics Karl Svozil, 2020-02-24 'This book could serve either as a good reference to remind students about what they have seen in their completed courses or as a starting point to show what needs more investigation. Svozil (Vienna Univ. of Technology) offers a very thorough text that leaves no mathematical area out, but it is best described as giving a synopsis of each application and how it relates to other areas … The text is organized well and provides a good reference list. Summing Up: Recommended. Upper-division undergraduates and graduate students.'CHOICEThis book contains very explicit proofs and demonstrations through examples for a comprehensive introduction to the mathematical methods of theoretical physics. It also combines and unifies many expositions of this subject, suitable for readers with interest in experimental and applied physics. |
| advances in theoretical and mathematical physics: An Introduction to the Mathematical Theory of Dynamic Materials Konstantin A. Lurie, 2007-05-15 This fascinating book is a treatise on real space-age materials. It is a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. |
| advances in theoretical and mathematical physics: Quantum Field Theory Michael V. Sadovskii, 2019-05-20 This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The theoretical results are derived using the physical phenomena as a starting point. This inductive approach allows a deep understanding of the methods used for solving problems in this field. This second, revised edition is expanded with biographical notes contextualizing the main results in quantum field theory. |
| advances in theoretical and mathematical physics: Condensed Matter Field Theory Alexander Altland, Ben D. Simons, 2010-03-11 This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena. |
| advances in theoretical and mathematical physics: Quantum Field Theory and Condensed Matter Ramamurti Shankar, 2017-08-30 Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics. |
| advances in theoretical and mathematical physics: String Theory Methods for Condensed Matter Physics Horatiu Nastase, 2017-09-21 The discovery of a duality between Anti-de Sitter spaces (AdS) and Conformal Field Theories (CFT) has led to major advances in our understanding of quantum field theory and quantum gravity. String theory methods and AdS/CFT correspondence maps provide new ways to think about difficult condensed matter problems. String theory methods based on the AdS/CFT correspondence allow us to transform problems so they have weak interactions and can be solved more easily. They can also help map problems to different descriptions, for instance mapping the description of a fluid using the Navier-Stokes equations to the description of an event horizon of a black hole using Einstein's equations. This textbook covers the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics. Bridging the gap between string theory and condensed matter, this is a valuable textbook for students and researchers in both fields. |
| advances in theoretical and mathematical physics: Quivers of Reality Oliver Vella, 2024-12-24 Embark on an Intellectual Odyssey: Delve into the Mysteries of the Universe Prepare to journey through the enigmatic realms of theoretical physics with Quivers of Reality: A Journey Through M-Theory and Lie Algebras. This riveting exploration challenges the boundaries of our understanding, seamlessly intertwining the surreal landscapes of higher dimensions and intricate mathematical frameworks. Discover the foundational elements of M-Theory, the revolutionary theory that posits a universe woven with multiple dimensions. From the origins of M-Theory to the grandeur of Lie Algebras, this book meticulously unpacks complex concepts with clarity, paying homage to the mathematical structures of E8 and E11 that underpin our physical world. Experience the allure of unraveled mysteries with chapters detailing pivotal theories, including AdS-CFT correspondence and the Holographic Principle. Explore how these theoretical frameworks reshape modern physics, offering unprecedented insights into the nature of reality itself. With captivating discussions on symmetry, supersymmetry, and symmetry breaking, this volume is an indispensable guide for those seeking to comprehend the universe's wondrous complexities. Engage your intellect with advanced topics like motivational cohomology and quantum gravity. The book deftly navigates the labyrinth of dualities, dimensional reductions, and the intricate dance between string theory and Lie Algebras. Envision a cosmos unified by mathematical elegance and groundbreaking theoretical perspectives, as each chapter opens new vistas of understanding. Your intellectual quest for knowledge awaits. Dive into the depths of physics, where elegance meets complexity, and timeless questions spur the pursuit of the ultimate unifying theory. Are you ready to join the expedition that challenges perceptions and reshapes our conception of the cosmos? |
| advances in theoretical and mathematical physics: Advanced General Relativity John Stewart, John M. Stewart, 1993-11-26 A self-contained introduction to advanced general relativity. |
| advances in theoretical and mathematical physics: Statistical Physics Michael V. Sadovskii, 2019-04-01 This volume provides a compact presentation of modern statistical physics at an advanced level, from the foundations of statistical mechanics to the main modern applications of statistical physics. Special attention is given to new approaches, such as quantum field theory methods and non-equilibrium problems. This second, revised edition is expanded with biographical notes contextualizing the main results in statistical physics. |
| advances in theoretical and mathematical physics: Sixteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg16 Meeting On General Relativity (In 4 Volumes) Remo Ruffini, Gregory Vereshchagin, 2022-12-15 The proceedings of MG16 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 46 plenary presentations, 3 public lectures, 5 round tables and 81 parallel sessions arranged during the intense six-day online meeting. All talks were recorded and are available on the ICRANet YouTube channel at the following link: www.icranet.org/video_mg16.These proceedings are a representative sample of the very many contributions made at the meeting. They contain 383 papers, among which 14 come from the plenary sessions.The material represented in these proceedings cover the following topics: accretion, active galactic nuclei, alternative theories of gravity, black holes (theory, observations and experiments), binaries, boson stars, cosmic microwave background, cosmic strings, dark energy and large scale structure, dark matter, education, exact solutions, early universe, fundamental interactions and stellar evolution, fast transients, gravitational waves, high energy physics, history of relativity, neutron stars, precision tests, quantum gravity, strong fields, and white dwarf; all of them represented by a large number of contributions.The online e-proceedings are published in an open access format. |
| advances in theoretical and mathematical physics: Mathematical Methods for Physics and Engineering Kenneth Franklin Riley, Michael Paul Hobson, Stephen John Bence, 1997 |
| advances in theoretical and mathematical physics: Lecture Notes in Applied Differential Equations of Mathematical Physics Luiz C. L. Botelho, 2008 Functional analysis is a well-established powerful method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and statistical turbulence. This book presents a unique, modern treatment of solutions to fractional random differential equations in mathematical physics. It follows an analytic approach in applied functional analysis for functional integration in quantum physics and stochastic Langevin?turbulent partial differential equations. |
| advances in theoretical and mathematical physics: Advances in Polaron Physics Alexandre S. Alexandrov, Jozef T. Devreese, 2009-10-03 This book reviews recent developments in the field of polarons, starting with the basics and covering a number of active directions of research. It integrates theory and experimental results. |
| advances in theoretical and mathematical physics: Advanced Techniques In Applied Mathematics Frank Smith, Tom Fearn, Shaun Bullett, 2016-05-12 This book is a guide to advanced techniques used widely in applied mathematical sciences research. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in techniques such as practical analytical methods, finite elements and symmetry methods for differential equations.Advanced Techniques in Applied Mathematics is the first volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas. |
| advances in theoretical and mathematical physics: Advances in Theoretical and Applied Mechanics A. Yu Ishlinsky, F. L. Chernousko, 1981 |
| advances in theoretical and mathematical physics: Mathematical Methods of Many-Body Quantum Field Theory Detlef Lehmann, 2004-08-30 Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of second quantization, field theoretical perturbation theory, functional integral methods, bosonic and fermionic, and estimation and summation techniques for Feynman diagrams. Among the physical effects discussed in this context are BCS superconductivity, s-wave and higher l-wave, and the fractional quantum Hall effect. While the presentation is mathematically rigorous, the author does not focus solely on precise definitions and proofs, but also shows how to actually perform the computations. Presenting many recent advances and clarifying difficult concepts, this book provides the background, results, and detail needed to further explore the issue of when the standard approximation schemes in this field actually work and when they break down. At the same time, its clear explanations and methodical, step-by-step calculations shed welcome light on the established physics literature. |
| advances in theoretical and mathematical physics: Conformal Field Theory Philippe Francesco, Pierre Mathieu, David Sénéchal, 1997 Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics. |
| advances in theoretical and mathematical physics: Advances in String Theory Eric R. Sharpe, Arthur Greenspoon, 2008 Over the past decade string theory has had an increasing impact on many areas of physics: high energy and hadronic physics, gravitation and cosmology, mathematical physics and even condensed matter physics. The impact has been through many major conceptual and methodological developments in quantum field theory in the past fifteen years. In addition, string theory has exerted a dramatic influence on developments in contemporary mathematics, including Gromov-Witten theory, mirror symmetry in complex and symplectic geometry, and important ramifications in enumerative geometry. This volume is derived from a conference of younger leading practitioners around the common theme: What is string theory? The talks covered major current topics, both mathematical and physical, related to string theory. Graduate students and research mathematicians interested in string theory in mathematics and physics will be interested in this workshop.--BOOK JACKET. |
| advances in theoretical and mathematical physics: Local Quantum Physics Haag, 1992-03-20 |
| advances in theoretical and mathematical physics: Differential Geometry for Physicists Bo-Yu Hou, Bo-Yuan Hou, 1997 This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. The first seven chapters focus on local analysis. This part can be used as a fundamental textbook for graduate students of theoretical physics. Chapters 8-10 discuss geometry on fibre bundles, which facilitates further reference for researchers. The last four chapters deal with the Atiyah-Singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry, giving the reader a glimpse of the frontier of current research in theoretical physics. |
| advances in theoretical and mathematical physics: Special Matrices of Mathematical Physics Ruben Aldrovandi, 2001 Ch. 1. Some fundamental notions. 1.1. Definitions. 1.2. Components of a matrix. 1.3. Matrix functions. 1.4. Normal matrices -- ch. 2. Evolving systems -- ch. 3. Markov chains. 3.1. Non-negative matrices. 3.2. General properties -- ch. 4. Glass transition -- ch. 5. The Kerner model. 5.1. A simple example: Se-As glass -- ch. 6. Formal developments. 6.1. Spectral aspects. 6.2. Reducibility and regularity. 6.3. Projectors and asymptotics. 6.4. Continuum time -- ch. 7. Equilibrium, dissipation and ergodicity. 7.1. Recurrence, transience and periodicity. 7.2. Detailed balancing and reversibility. 7.3. Ergodicity -- ch. 8. Prelude -- ch. 9. Definition and main properties. 9.1. Bases. 9.2. Double Fourier transform. 9.3. Random walks -- ch. 10. Discrete quantum mechanics. 10.1. Introduction. 10.2. Weyl-Heisenberg groups. 10.3. Weyl-Wigner transformations. 10.4. Braiding and quantum groups -- ch. 11. Quantum symplectic structure. 11.1. Matrix differential geometry. 11.2. The symplectic form. 11.3. The quantum fabric -- ch. 12. An organizing tool -- ch. 13. Bell polynomials. 13.1. Definition and elementary properties. 13.2. The matrix representation. 13.3. The Lagrange inversion formula. 13.4. Developments -- ch. 14. Determinants and traces. 14.1. Introduction. 14.2. Symmetric functions. 14.3. Polynomials. 14.4. Characteristic polynomials. 14.5. Lie algebras invariants -- ch. 15. Projectors and iterates. 15.1. Projectors, revisited. 15.2. Continuous iterates -- ch. 16. Gases: real and ideal. 16.1. Microcanonical ensemble. 16.2. The canonical ensemble. 16.3. The grand canonical ensemble. 16.4. Braid statistics. 16.5. Condensation theories. 16.6. The Fredholm formalism. |
| advances in theoretical and mathematical physics: Quantum Field Theory I Edouard B. Manoukian, 2016-12-01 This textbook covers a broad spectrum of developments in QFT, emphasizing those aspects that are now well consolidated and for which satisfactory theoretical descriptions have been provided. The book is unique in that it offers a new approach to the subject and explores many topics merely touched upon, if covered at all, in standard reference works. A detailed and largely non-technical introductory chapter traces the development of QFT from its inception in 1926. The elegant functional differential approach put forward by Schwinger, referred to as the quantum dynamical (action) principle, and its underlying theory are used systematically in order to generate the so-called vacuum-to-vacuum transition amplitude of both abelian and non-abelian gauge theories, in addition to Feynman’s well-known functional integral approach, referred to as the path-integral approach. Given the wealth of information also to be found in the abelian case, equal importance is put on both abelian and non-abelian gauge theories. Particular emphasis is placed on the concept of a quantum field and its particle content to provide an appropriate description of physical processes at high energies, where relativity becomes indispensable. Moreover, quantum mechanics implies that a wave function renormalization arises in the QFT field independent of any perturbation theory - a point not sufficiently emphasized in the literature. The book provides an overview of all the fields encountered in present high-energy physics, together with the details of the underlying derivations. Further, it presents “deep inelastic” experiments as a fundamental application of quantum chromodynamics. Though the author makes a point of deriving points in detail, the book still requires good background knowledge of quantum mechanics, including the Dirac Theory, as well as elements of the Klein-Gordon equation. The present volume sets the language, the notation and provides additional background for reading Quantum Field Theory II - Introduction to Quantum Gravity, Supersymmetry and String Theory, by the same author. Students in this field might benefit from first reading the book Quantum Theory: A Wide Spectrum (Springer, 2006), by the same author. |
| advances in theoretical and mathematical physics: The Calabi–Yau Landscape Yang-Hui He, 2021-07-31 Can artificial intelligence learn mathematics? The question is at the heart of this original monograph bringing together theoretical physics, modern geometry, and data science. The study of Calabi–Yau manifolds lies at an exciting intersection between physics and mathematics. Recently, there has been much activity in applying machine learning to solve otherwise intractable problems, to conjecture new formulae, or to understand the underlying structure of mathematics. In this book, insights from string and quantum field theory are combined with powerful techniques from complex and algebraic geometry, then translated into algorithms with the ultimate aim of deriving new information about Calabi–Yau manifolds. While the motivation comes from mathematical physics, the techniques are purely mathematical and the theme is that of explicit calculations. The reader is guided through the theory and provided with explicit computer code in standard software such as SageMath, Python and Mathematica to gain hands-on experience in applications of artificial intelligence to geometry. Driven by data and written in an informal style, The Calabi–Yau Landscape makes cutting-edge topics in mathematical physics, geometry and machine learning readily accessible to graduate students and beyond. The overriding ambition is to introduce some modern mathematics to the physicist, some modern physics to the mathematician, and machine learning to both. |
| advances in theoretical and mathematical physics: Partial Differential Equations and Dynamical Systems William Edward Fitzgibbon, 1984 There has recently been a great amount of activity and a rapid growth in the areas of partial differential equations and dynamical systems. This interest has been encouraged by the development of powerful new techniques in nonlinear analysis and a renewed scientific interest in applied mathematical analysis. This book has been designed to make the reader aware of progress and current problems in this exciting and useful area. The book consists of articles by internationally known mathematical scientists, based on lectures given during a year-long program at the University of Houston. |
| advances in theoretical and mathematical physics: What's Happening in the Mathematical Sciences Barry Cipra, Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers. |
| advances in theoretical and mathematical physics: Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics Elina Shishkina, Sergei Sitnik, 2020-07-24 Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights. |
| advances in theoretical and mathematical physics: Advances in Quantum Field Theory Sergey Ketov, 2012-02-03 Quantum Field Theory is now well recognized as a powerful tool not only in Particle Physics but also in Nuclear Physics, Condensed Matter Physics, Solid State Physics and even in Mathematics. In this book some current applications of Quantum Field Theory to those areas of modern physics and mathematics are collected, in order to offer a deeper understanding of known facts and unsolved problems. |
| advances in theoretical and mathematical physics: Advancements in Complex Analysis Daniel Breaz, Michael Th. Rassias, 2021-05-13 The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research. Topics covered include: holomorphic approximation, hypercomplex analysis, special functions of complex variables, automorphic groups, zeros of the Riemann zeta function, Gaussian multiplicative chaos, non-constant frequency decompositions, minimal kernels, one-component inner functions, power moment problems, complex dynamics, biholomorphic cryptosystems, fermionic and bosonic operators. The book will appeal to graduate students and research mathematicians as well as to physicists, engineers, and scientists, whose work is related to the topics covered. |
Here are 12 new advances in the battle to beat cancer | W…
Feb 27, 2025 · Scientists working to improve the treatment and diagnosis of cancer are beginning to use AI, DNA …
These are the Top 10 Emerging Technologies of 2024 - The W…
Jun 25, 2024 · The Forum’s pick of the Top 10 Emerging Technologies of 2024 range from microbial carbon capture …
The current state of AI, according to Stanford's AI Ind…
Apr 26, 2024 · The report, which is in its seventh edition, covers trends such as technical advancements in AI, public …
5 innovations that are revolutionizing global healthc…
Feb 22, 2023 · Healthcare innovation is accelerating at an unprecedented scale, particularly in the digital sphere, the …
1. AI for scientific discovery - The World Economic Forum
Jun 25, 2024 · The report highlights breakthroughs in AI, connectivity, and sustainability, such as deep learning, …
Maths for Physics - University of Birmingham
your mathematical skills throughout your undergraduate studies. Understanding key mathematical ideas and being able to apply these to problems in physics is an essential part of being a …
GLSMs for Gerbes (and other toric stacks) - Project Euclid
changed the physics. In order to recover the physics we have described, we require the Higgs fields to have charge k while the instanton numbers are integral, not fractional. Closer …
ANDREA AGAZZI - Duke University
2013–17 PhD in Theoretical Physics at University of Geneva (CH) Supervisor: Prof. J.-P. Eckmann 2015 Research stay at Stanford University (10 months) Supervisor: Prof. A. Dembo …
Advanced Concepts of Theoretical Physics - Portal
Theoretical physics is the attempt to describe Nature quantitatively using the lan-guage of mathematics. Indeed there is an interplay between mathematics and the-oretical physics, with …
Riemann–Hilbert approach to the time-dependent …
determinants also appear in other branches of mathematical physics. For instance, the determinant of the so-called sine-kernel acting on an interval J is directly related to the gap …
Branes and quantization - Project Euclid
BRANES AND QUANTIZATION 1449 For our purposes, saying that Y is a complexification of M simply means that (1) Y is a complex manifold with an antiholomorphic involution1 τ: Y → Y, …
Volume conjecture: refined and categorified - Project Euclid
4Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1090 GL, Amsterdam, The Netherlands 5Faculty of Physics, University of Warsaw, ul. Ho˙za 69, 00-681 …
Exploring Contemporary Theories of Time Travel in Physics: …
2. Theoretical Framework The theoretical foundation of time travels in modern physics primarily rests on Einstein's theory of general relativity, quantum mechanics, and speculative models …
MECHANICS FOR MATHEMATICIANS August 29, 2020
enough physics to get them started, and to enable them to learn more on their own. In particular, I have been very in uenced in writing these notes by two masterpieces of the Russian school: …
On the final definition of the causal boundary and its …
boundary is clearly the most applied in mathematical relativity. Notions such as asymptotic flatness or tools as Penrose–Carter diagrams rely on the conformal boundary. Moreover, this …
Rigid surface operators - Project Euclid
c 2010 International Press Adv. Theor. Math. Phys. 14 (2010) 87–177 Rigid surface operators Sergei Gukov1,2,4 and Edward Witten3 1Department of Physics, University of California, …
数学科技期刊分级目录 - CMS
11 communications in mathematical physics 0010-3616 12 communications on pure and applied mathematics ... 17 journal of theoretical probability 0894-9840 18 journal of time series …
Gauge is more than mathematical redundancy
Sep 22, 2020 · the physics underlying this phenomenology. To see this, consider again the case of lattice gauge theory on a region split into two subregions 1 and 2. Suppose we study the …
Algebraic deformations of toric varieties II: noncommutative …
c 2011 International Press Adv. Theor. Math. Phys. 15 (2011) 1817–1907 Algebraic deformations of toric varieties II: noncommutative instantons Lucio Cirio1,2, Giovanni Landi3 and Richard J. …
On the relation between ADM and Bondi energy–momenta
RELATION BETWEEN ADM AND BONDI ENERGY–MOMENTA 263 energy is no longer the past limit of the Bondi mass and it differs by certain quantity relating to the news of the system. It …
MATHEMATICAL PROBLEMS OF RELATIVISTIC PHYSICS; …
cal physics has a rather fragmented appearance at present. The traditional approach effectively regarded theoretical physics as a game whose purpose was to derive from simple theoretical …
Journal Title Subject 1 Subject 2 Subject 3 ISSN 1 ISSN 2 ISSN 3
Advances in Geometry Pure mathematics 1615-715X / 1615-7168 1615-7168 Advances in Mathematics Pure mathematics Applied mathematics Mathematical physics 0001-8708 / 1090 …
EIRIK EIK SVANES - uis.no
Advances in Theoretical and Mathematical Physics, Volume 19, Number 4, pages 837-903 (arXiv:1409.7539) X. de la Ossa and E. E. Svanes, Connections, Field Redefinitions and …
Advanced Theoretical Physics - Science Asylum
From a mathematical standpoint, you could write the time component as an imaginary number since q c2 ( t)2 = p 1 c t = ic t: This isn't traditionally done. However, it's mathematically …
arXiv:2405.19973v1 [math.HO] 30 May 2024
May 31, 2024 · A Triumvirate of AI Driven Theoretical Discovery Yang-Hui He* 1London Institute for Mathematical Sciences, Royal Institution, London W1S 4BS, UK 2Merton College, …
Proteins: A Theoretical Perspective of Dynamics, Structure, …
Bulletin of Mathematical Biology Vol. 53, No. 1/2, pp. 313-326, 1991. Pergamon Press pie. Printed in Great Britain. Society for Mathematical Biology BOOK REVIEWS Proteins: A Theoretical …
Persistence of gaps in the spectrum of certain almost periodic …
We turn now to the mathematical significance of the present work, which at this point is somewhat speculative in nature. The set of quantum Hall numbers is a cyclic subgroup of the …
Mathematical Physics M.Sc. - Universität Hamburg
Mathematics and the Department of Physics at Hamburg University. It is complemented by contributions from leading scientists of the Theoretical Physics Group at DESY, one of the …
Advances in SOVIET MATHEMATICS - American …
symmetry. Originally this idea appeared in theoretical physics as the means to “put on an equal footing” fermions and bosons, but later it became a general mathematical principle. According …
Applications of Mathematics in Physics: Bridging the …
the field of Physics, showcasing how mathematical concepts and techniques have been instrumental in advancing our understanding of the natural world. From classical mechanics to …
THEORETICAL METHODS IN CONDENSED PHASE …
Progress in Theoretical Chemistry and Physics A series reporting advances in theoretical molecular and material sciences, including theoretical, mathematical and computational …
O -Shell supersymmetry and Filtered Cli ord supermodules …
Advances in Theoretical Mathematical Physics 6 (2002) 329-355 Intersecting branes in M-theory and chiral matter in four dimensions C. Doran and M. Faux, Journal of High Energy Physics …
Key Methods and Concepts in Condensed Matter Physics
matter physics and statistical mechanics. The connection between these two fields is an old, and deep one. While the latter is mostly a theoretical field, the former could not progress without …
MAY 16, 1936 NATURE
student of the new advances in theoretical physics ... of difficult branches of mathematical physics. He took an active part in the work of the Education
arXiv:hep-th/9711200v3 22 Jan 1998
Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA Abstract We show that the large N limit of certain conformal field theories in various dimen-sions include in their …
Jacob Shapiro October 2024 - Princeton University
2018 Ph.D. in Mathematical Physics ... in strong magnetic fields.Advances in Mathematics. 403, 108343 (2022) [10] Bols, A., Schenker, J., and Shapiro, J.: Fredholm homotopies for strongly …
The Project Gutenberg eBook #36114: Relativity
May 15, 2011 · mathematical apparatus1 of theoretical physics. The work pre-sumes a standard of education corresponding to that of a uni-versity matriculation examination, and, despite the …
Partial Differential Equations in the 20th Century
Advances in Mathematics AI1713 Advances in Mathematics 135, 76 144 (1998) ... spaces and mathematical physics. Finally, and this may be the most important from the practical point of …
Curriculum Vitae
2005 Chairman, Conference on Advances in Theoretical Sciences 2005, International Advanced Technology Congress 2005 2005-2006 Chairman, Publications & Publicity Committee, ITMA …
Research on Separation Variable Method in Mathematical …
Advances in Engineering Research, volume 123 ... mathematical physics equation is the most able to reflect the characteristics of ... as far as possible without strict "definition" in the form, …
Stochastic Analysis Mathematical Methods and Real World …
Aug 1, 2019 · However, rapid advances in technology continue to spew large volumes of data. Maintaining a big picture perspective and decoding information from ... such rapid data outflow …
How will we do mathematics in 2030 - UC Santa Barbara
Oct 17, 2022 · In this talk we focus on the mathematical sciences, broadly defined to include not just pure and applied mathematics and statistics, but also much of computer science, and the …
Physical Chemistry and Theoretical Chemistry
An introduction to mathematical modelling of complex biological systems. The primary focus will be on sets of chemical reactions arising in biological contexts (for example, in gene …
arXiv:hep-th/9802150v2 6 Apr 1998
AdSd+1.Again, in (1.2) there are closed timelike curves; if one takes the universal cover to eliminate them, then the boundary becomes the universal cover of Md. According to [13], an N …
The Cambridge Handbook of Physics Formulas - Fisica
main April22,2003 15:22 Contents Preface pagevii Howtousethisbook1 1 Units, constants, and conversions 3 1.1 Introduction,3•1.2 SIunits,4•1.3 Physicalconstants,6 •1.4 …
Machine Learning in Physics & Geometry - arXiv.org
in geometry and theoretical physics. Pure mathematical data has been compiled over the last few decades by the community and experiments in supervised, semi-supervised and unsupervised …
MATHEMATICAL MODELING USING SEMANTIC NETWORKS …
well the mathematical models developed on the theoretical side agree with results of repeatable experiments. Lack of agreement between theoretical mathematical models and experimental …
Mathematical methods of classical mechanics-Arnold V.I.
classical problems of mathematical physics, and their study has led to new results in both physics and mathematics, for instance, in algebraic geometry. Symplectic topology has become one of …
Theoretical and Mathematical Physics Density Functional …
Theoretical and Mathematical Physics Density Functional Theory An Advanced Course. Density Functional Theory. Theoretical and Mathematical Physics The series founded in 1975 and …
D-S-NstevePaul Landau 10 30F
The theoretical study [1, 2, 3] and experimental obser ... CPl 134, Advances in Theoretical Physics: Landau Memorial Conference, edited by V. Lebedev and M. Feigel'man O 2009 …
Topics in Mathematical Physics: A Journey Through …
In theoretical physics, many profound concepts, predictions, and advances were pioneered through mathematical insights gained from the study of the equations governing basic physical …
Recent mathematical advances in coupled cluster theory
arXiv:2401.07383v1 [physics.chem-ph] 14 Jan 2024. 1 Introduction Coupled-cluster (CC) theory is a widely acclaimed, high-precision wave function approach that is ... In this article, we review …
1 Physics-Informed Machine Learning: A Survey on Problems, …
collected data, which makes the intersection of machine learning and physics become a prevailing paradigm. By integrating the data and mathematical physics models seamlessly, it can guide …
Theoretical and Applied Physics - TSI Journals
Theoretical, Experimental and Computational Physics The branch of physics that uses mathematical models and abstractions of physical things and systems to justify, explain, and …
Theoretical Physics Reference
3.10 Periodic Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3.11 Polar Coordinates ...
