Algebraic Methods In Statistical Mechanics And Quantum Field Theory
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Algebraic Methods In Statistical Mechanics And Quantum Field Theory
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Author : Dr. Gérard G. Emch
language : en
Publisher: Courier Corporation
Release Date : 2014-08-04
Algebraic Methods In Statistical Mechanics And Quantum Field Theory written by Dr. Gérard G. Emch and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-04 with Science categories.
This systematic algebraic approach offers a careful formulation of the problems' physical motivations as well as self-contained descriptions of the mathematical methods for arriving at solutions. 1972 edition.
Thermal Quantum Field Theory
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Author : F. C. Khanna
language : en
Publisher: World Scientific
Release Date : 2009
Thermal Quantum Field Theory written by F. C. Khanna and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Science categories.
Presents developments in thermal field theory. This book combines ideas from thermal theory with concepts from group theory using Lie algebras, allowing for applications not only to quantum field theory but also to quantum optics and statistical mechanics
Quantum Field Theory I Basics In Mathematics And Physics
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Author : Eberhard Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-18
Quantum Field Theory I Basics In Mathematics And Physics written by Eberhard Zeidler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-18 with Science categories.
This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.
The Large N Expansion In Quantum Field Theory And Statistical Physics
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Author : E. Brzin
language : en
Publisher: World Scientific
Release Date : 1993
The Large N Expansion In Quantum Field Theory And Statistical Physics written by E. Brzin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.
This book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics. The topics include (1) Spin Systems; (2) Large N Limit of Gauge Theories; (3) Two-Dimensional QCD; (4) Exact Results on Planar Perturbation Series and the Nature of the 1/N Series; (5) Schwinger-Dyson Equations Approach; (6) QCD Phenomenological Lagrangians and the Large N Limit; (7) Other Approaches to Large N: Eguchi-Kawai Model, Collective Fields and Numerical Methods; (8) Matrix Models; (9) Two-Dimensional Gravity and String Theory.
From Classical Mechanics To Quantum Field Theory A Tutorial
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Author : Manuel Asorey
language : en
Publisher: World Scientific
Release Date : 2020-01-14
From Classical Mechanics To Quantum Field Theory A Tutorial written by Manuel Asorey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-14 with Science categories.
This book collects an extended version of the lectures delivered by the authors at the Fall Workshop on Geometry and Physics in the years 2014, 2015, 2016.It aims at introducing advanced graduate and PhD students, as well as young researchers, to current research in mathematics and physics. In particular, it fills the gap between the more physical-oriented and the more mathematical-oriented literature on quantum theory. It introduces various approaches to methods of quantization, along with their impact on modern mathematical methods.
The Green Function Method In Statistical Mechanics
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Author : V.L. Bonch-Bruevich
language : en
Publisher: Courier Dover Publications
Release Date : 2015-11-18
The Green Function Method In Statistical Mechanics written by V.L. Bonch-Bruevich and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-18 with Science categories.
Concise monograph devoted to techniques of solving many-body problems in physics using the quantum-mechanical Green function method. Requires some familiarity with the basic theory of quantum mechanics and statistical mechanics. 1962 edition.
Quantum Mechanics And Its Emergent Macrophysics
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Author : Geoffrey L. Sewell
language : en
Publisher: Princeton University Press
Release Date : 2020-11-10
Quantum Mechanics And Its Emergent Macrophysics written by Geoffrey L. Sewell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-10 with Science categories.
The quantum theory of macroscopic systems is a vast, ever-developing area of science that serves to relate the properties of complex physical objects to those of their constituent particles. Its essential challenge is that of finding the conceptual structures needed for the description of the various states of organization of many-particle quantum systems. In this book, Geoffrey Sewell provides a new approach to the subject, based on a "macrostatistical mechanics," which contrasts sharply with the standard microscopic treatments of many-body problems. Sewell begins by presenting the operator algebraic framework for the theory. He then undertakes a macrostatistical treatment of both equilibrium and nonequilibrium thermodynamics, which yields a major new characterization of a complete set of thermodynamic variables and a nonlinear generalization of the Onsager theory. The remainder of the book focuses on ordered and chaotic structures that arise in some key areas of condensed matter physics. This includes a general derivation of superconductive electrodynamics from the assumptions of off-diagonal long-range order, gauge covariance, and thermodynamic stability, which avoids the enormous complications of the microscopic treatments. Sewell also unveils a theoretical framework for phase transitions far from thermal equilibrium. Throughout, the mathematics is kept clear without sacrificing rigor. Representing a coherent approach to the vast problem of the emergence of macroscopic phenomena from quantum mechanics, this well-written book is addressed to physicists, mathematicians, and other scientists interested in quantum theory, statistical physics, thermodynamics, and general questions of order and chaos.
Advanced Statistical Mechanics
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Author : Barry M McCoy
language : en
Publisher: OUP Oxford
Release Date : 2009-12-17
Advanced Statistical Mechanics written by Barry M McCoy and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-17 with Science categories.
Statistical Mechanics is the study of systems where the number of interacting particles becomes infinite. In the last fifty years tremendous advances have been made which have required the invention of entirely new fields of mathematics such as quantum groups and affine Lie algebras. They have engendered remarkable discoveries concerning non-linear differential equations and algebraic geometry, and have produced profound insights in both condensed matter physics and quantum field theory. Unfortunately, none of these advances are taught in graduate courses in statistical mechanics. This book is an attempt to correct this problem. It begins with theorems on the existence (and lack) of order for crystals and magnets and with the theory of critical phenomena, and continues by presenting the methods and results of fifty years of analytic and computer computations of phase transitions. It concludes with an extensive presentation of four of the most important of exactly solved problems: the Ising, 8 vertex, hard hexagon and chiral Potts models.
Symplectic Quantum Field Theory
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Author : Ademir E. Santana
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2023-12-21
Symplectic Quantum Field Theory written by Ademir E. Santana and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Science categories.
The present monograph brings to readers, as researchers and students of physics and mathematics, recent developments in symmetries, where the representation space is a symplectic manifold. This gives rise to the quantum field theory formulated in through the concept of phase space and associated with the Wigner function, a quasi-distribution of probability. This approach provides information about non-classicality of quantum systems, describes quantum chaos and is the starting point of the quantum kinetic theory. In this realm, abelian and non-abelian gauge symmetries are introduced with the concept of quasi-amplitude of probability. This leads, for instance, to Symplectic Schrödinger, Klein-Gordon and Dirac equations dealing with systems in condensed matter and particle physics. These achievements are depicted here, following a pedagogical model of presentation.
Mathematics Of Quantization And Quantum Fields
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Author : Jan Dereziński
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-09
Mathematics Of Quantization And Quantum Fields written by Jan Dereziński and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-09 with Science categories.
This 2013 book, now OA, offers a definitive review of mathematical aspects of quantization and quantum field theory.