Advances In Theoretical And Mathematical Physics

Author : Roman W. Jackiw
Publisher : World Scientific
Page : 528 pages
File Size : 47,5 Mb
Release : 1995
Category : Science
ISBN : 9810216971

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Diverse Topics in Theoretical and Mathematical Physics by Roman W. Jackiw Pdf

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.

Author : S. M. Blinder,J. E. House
Publisher : Elsevier
Page : 423 pages
File Size : 52,8 Mb
Release : 2018-11-26
Category : Science
ISBN : 9780128137017

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Mathematical Physics in Theoretical Chemistry by S. M. Blinder,J. E. House Pdf

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

Author : Anonim
Publisher : Unknown
Page : 546 pages
File Size : 43,6 Mb
Release : 2008
Category : Mathematical physics
ISBN : CHI:82285543

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Advances in Theoretical and Mathematical Physics by Anonim Pdf

Author : Steeb Willi-hans
Publisher : World Scientific
Page : 736 pages
File Size : 42,6 Mb
Release : 2018-08-23
Category : Science
ISBN : 9789813275393

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Theoretical and Mathematical Physics by Steeb Willi-hans Pdf

This updated and extended edition of the book combines the topics provided in the two parts of the previous editions as well as new topics. It is a comprehensive compilation covering most areas in mathematical and theoretical physics. The book provides a collection of problems together with their detailed solutions which will prove to be valuable to students as well as to researchers in the fields of mathematics, physics, engineering and other sciences. Each chapter provides a short introduction with the relevant definitions and notations. All relevant definitions are given. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Stimulating supplementary problems are also provided in each chapter. Students can learn important principles and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques are developed in the problems. Introductory problems for both undergraduate and advanced undergraduate students are provided. More advanced problems together with their detailed solutions are collected, to meet the needs of graduate students and researchers. Problems included cover new fields in theoretical and mathematical physics such as tensor product, Lax representation, Bäcklund transformation, soliton equations, Hilbert space theory, uncertainty relation, entanglement, spin systems, Lie groups, Bose system, Fermi systems differential forms, Lie algebra valued differential forms, metric tensor fields, Hirota technique, Painlevé test, Bethe ansatz, Yang-Baxter relation, wavelets, gauge theory, differential geometry, string theory, chaos, fractals, complexity, ergodic theory, etc. A number of software implementations are also provided.

Author : Eric R. Sharpe,Arthur Greenspoon
Publisher : American Mathematical Soc.
Page : 259 pages
File Size : 41,5 Mb
Release : 2008
Category : Mathematics
ISBN : 9780821847640

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Advances in String Theory by Eric R. Sharpe,Arthur Greenspoon Pdf

"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.

Author : Gordon W. Semenoff,Luc Vinet
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461214106

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Particles and Fields by Gordon W. Semenoff,Luc Vinet Pdf

The focus of this volume is on quantum field theory: inegrable theories, statistical systems, and applications to condensed-matter physics. It covers some of the most significant recent advances in theoretical physics at a level accessible to advanced graduate students. The contributions, each by a noted researcher, dicuss such topics as: some remarkable features of integrable Toda field theories (E. Corrigan), properties of a gas of interacting Fermions in a lattice of magnetic ions (J. Feldman &. al.), how quantum groups arise in three-dimensional topological quantum field thory (D. Freed), a method for computing correlation functions of solvable lattice models (T. Miwa), matrix models discussed from the point of view of integrable systems (A. Morozov), localization of path integrals in certain equivariant cohomologies (A. Niemi), Calogero-Moser systems (S. Ruijsenaars), planar gauge theories with broken symmetries (M. de Wild Propitius & F.A. Bais), quantum-Hall fluids (A. Capelli & al.), spectral theory of quantum vortex operators (P.I. Ettinghoff).

Author : Joseph Kouneiher
Publisher : Springer
Page : 441 pages
File Size : 47,9 Mb
Release : 2018-05-26
Category : Science
ISBN : 9783319648132

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Foundations of Mathematics and Physics One Century After Hilbert by Joseph Kouneiher Pdf

This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.

Author : A Fokas,A Grigoryan,T Kibble,B Zegarlinski
Publisher : World Scientific
Page : 336 pages
File Size : 50,9 Mb
Release : 2000-05-05
Category : Science
ISBN : 9781783261710

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Mathematical Physics 2000 by A Fokas,A Grigoryan,T Kibble,B Zegarlinski Pdf

Mathematical physics has made enormous strides over the past few decades, with the emergence of many new disciplines and with revolutionary advances in old disciplines. One of the especially interesting features is the link between developments in mathematical physics and in pure mathematics. Many of the exciting advances in mathematics owe their origin to mathematical physics — superstring theory, for example, has led to remarkable progress in geometry — while very pure mathematics, such as number theory, has found unexpected applications. The beginning of a new millennium is an appropriate time to survey the present state of the field and look forward to likely advances in the future. In this book, leading experts give personal views on their subjects and on the wider field of mathematical physics. The topics covered range widely over the whole field, from quantum field theory to turbulence, from the classical three-body problem to non-equilibrium statistical mechanics. Contents: Modern Mathematical Physics: What It Should Be (L D Faddeev)New Applications of the Chiral Anomaly (J Fröhlich & B Pedrini)Fluctuations and Entropy Driven Space–Time Intermittency in Navier–Stokes Fluids (G Gallavotti)Superstrings and the Unification of the Physical Forces (M B Green)Questions in Quantum Physics: A Personal View (R Haag)What Good are Quantum Field Theory Infinities? (R Jackiw)Constructive Quantum Field Theory (A Jaffe)Fourier's Law: A Challenge to Theorists (F Bonetto et al.)The “Corpuscular” Structure of the Spectra of Operators Describing Large Systems (R A Minlos)Vortex- and Magneto-Dynamics — A Topological Perspective (H K Moffatt)Gauge Theory: The Gentle Revolution (L O'Raifeartaigh)Random Matrices as Paradigm (L Pastur)Wavefunction Collapse as a Real Gravitational Effect (R Penrose)Schrödinger Operators in the Twenty-First Century (B Simon)The Classical Three-Body Problem — Where is Abstract Mathematics, Physical Intuition, Computational Physics Most Powerful? (H A Posch & W Thirring)Infinite Particle Systems and Their Scaling Limits (S R S Varadhan)Supersymmetry: A Personal View (B Zumino) Readership: Mathematicians and physicists. Keywords:London (GB);Proceedings;Congress;Mathematical Physics

Author : Felix Finster,Olaf Müller,Marc Nardmann,Jürgen Tolksdorf,Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 43,7 Mb
Release : 2012-02-08
Category : Mathematics
ISBN : 9783034800433

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Quantum Field Theory and Gravity by Felix Finster,Olaf Müller,Marc Nardmann,Jürgen Tolksdorf,Eberhard Zeidler Pdf

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.

Author : Charles V. Benton
Publisher : Nova Publishers
Page : 256 pages
File Size : 52,9 Mb
Release : 2004
Category : Mathematics
ISBN : 1590339134

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Trends in Mathematical Physics Research by Charles V. Benton Pdf

Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both non-relativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.

Author : MoshŽ Flato,Paul Sally,Gregg Zuckerman
Publisher : American Mathematical Soc.
Page : 436 pages
File Size : 51,5 Mb
Release : 1985-12-31
Category : Science
ISBN : 0821896865

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Applications of Group Theory in Physics and Mathematical Physics by MoshŽ Flato,Paul Sally,Gregg Zuckerman Pdf

The past decade has seen a renewal in the close ties between mathematics and physics. The Chicago Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, held in July, 1982, was organized to bring together a broad spectrum of scientists from theoretical physics, mathematical physics, and various branches of pure and applied mathematics in order to promote interaction and an exchange of ideas and results in areas of common interest. This volume contains the papers submitted by speakers at the Seminar. The reader will find several groups of articles varying from the most abstract aspects of mathematics to a concrete phenomenological description of some models applicable to particle physics. The papers have been divided into four categories corresponding to the principal topics covered at the Seminar. This is only a rough division, and some papers overlap two or more of these categories.

Author : Pietro Giuseppe Frè
Publisher : Springer
Page : 556 pages
File Size : 52,5 Mb
Release : 2018-02-24
Category : Science
ISBN : 9783319744919

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Advances in Geometry and Lie Algebras from Supergravity by Pietro Giuseppe Frè Pdf

This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that occurred under the fertilizing influence of supersymmetry/supergravity. The contents are mainly of mathematical nature, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject.

Author : R. D. Richtmyer
Publisher : Unknown
Page : 336 pages
File Size : 50,6 Mb
Release : 1981-11-01
Category : Electronic
ISBN : 3642510779

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Principles of Advanced Mathematical Physics II by R. D. Richtmyer Pdf

Author : Anonim
Publisher : Unknown
Page : 412 pages
File Size : 46,6 Mb
Release : 2004
Category : Mathematical physics
ISBN : CHI:69312223

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Advances in Theoretical and Mathematical Physics by Anonim Pdf

Author : Lucas Morgan
Publisher : Willford Press
Page : 239 pages
File Size : 45,5 Mb
Release : 2021-11-16
Category : Science
ISBN : 164728354X

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Advances in Mathematical Physics by Lucas Morgan Pdf

Mathematical physics is concerned with developing mathematical methods to apply to problems in physics. It is a broad field that is distinguished by the blending of physics and pure mathematics. Its primary focus is on the expansion and explanation of physical theories. There are various branches of mathematical physics such as classical mechanics, partial differential equations, quantum theory, relativity, quantum relativistic theories and statistical mechanics. Fields like dynamical systems and Hamiltonian mechanics also belong to mathematical physics. This book provides comprehensive insights into the field of mathematical physics. While understanding the long-term perspectives of the topics, the book makes an effort in highlighting their impact as a modern tool for the growth of the discipline. Coherent flow of topics, student-friendly language and extensive use of examples make this book an invaluable source of knowledge.