Integrable Many Particle Systems
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Integrable Many Particle Systems
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Author : Vladimir Inozemtsev
language : en
Publisher: World Scientific
Release Date : 2023-04-25
Integrable Many Particle Systems written by Vladimir Inozemtsev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-25 with Science categories.
It is commonly known that three or more particles interacting via a two-body potential is an intractable problem. However, similar systems confined to one dimension yield exactly solvable equations, which have seeded widely pursued studies of one-dimensional n-body problems. The interest in these investigations is justified by their rich and quantitative insights into real-world classical and quantum problems, birthing a field that is the subject of this book. Spanning four bulk chapters, this book is written with the hope that readers come to appreciate the beauty of the mathematical results concerning the models of many-particle systems, such as the interaction between light particles and infinitely massive particles, as well as interacting quasiparticles. As the book discusses several unsolved problems in the subject, it functions as an insightful resource for researchers working in this branch of mathematical physics.In Chapter 1, the author first introduces readers to interesting problems in mathematical physics, with the prime objective of finding integrals of motion for classical many-particle systems as well as the exact solutions of the corresponding equations of motions. For these studied systems, their quantum mechanical analogue is then developed in Chapter 2. In Chapter 3, the book focuses on a quintessential problem in the quantum theory of magnetism: namely, to find all integrable one-dimensional systems involving quasiparticles of interacting one-half spins. Readers will study the integrable periodic chains of interacting one-half spins and discover the integrals of motion for such systems, as well as the eigenvectors of their corresponding Hamiltonians. In the last chapter, readers will study about integrable systems of quantum particles, with spin and mutual interactions involving rational, trigonometric, or elliptic potentials.
Integrable Many Particle Systems
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Author : Vladimir I. Inozemtsev
language : en
Publisher:
Release Date : 2023
Integrable Many Particle Systems written by Vladimir I. Inozemtsev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Electronic books categories.
Quantum Many Particle Systems
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Author : John W. Negele
language : en
Publisher: CRC Press
Release Date : 2018-03-05
Quantum Many Particle Systems written by John W. Negele and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-05 with Science categories.
This book explains the fundamental concepts and theoretical techniques used to understand the properties of quantum systems having large numbers of degrees of freedom. A number of complimentary approaches are developed, including perturbation theory; nonperturbative approximations based on functional integrals; general arguments based on order parameters, symmetry, and Fermi liquid theory; and stochastic methods.
Quantum Theory Of Many Particle Systems
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Author : Alexander L. Fetter
language : en
Publisher: Courier Corporation
Release Date : 2012-03-08
Quantum Theory Of Many Particle Systems written by Alexander L. Fetter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Science categories.
Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 1971 edition.
Propagators For Many Particle Systems
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Author : Robert Mills
language : en
Publisher: CRC Press
Release Date : 1969
Propagators For Many Particle Systems written by Robert Mills and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Science categories.
Quantum Many Particle Systems
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Author : John W. Negele
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1988-01-21
Quantum Many Particle Systems written by John W. Negele and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-21 with Science categories.
Modern Theories Of Many Particle Systems In Condensed Matter Physics
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Author : Daniel C. Cabra
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05
Modern Theories Of Many Particle Systems In Condensed Matter Physics written by Daniel C. Cabra 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 2012-01-05 with Technology & Engineering categories.
Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place for both experimental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed matter systems differs quite considerably from standard textbook presentations. The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. As both graduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field alike.
The Quantum Theory Of Many Particle Systems
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Author : Harry L. Morrison
language : en
Publisher:
Release Date : 1963
The Quantum Theory Of Many Particle Systems written by Harry L. Morrison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Science categories.
Many Particle Theory
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Author : Eberhard K. U. Gross
language : en
Publisher: CRC Press
Release Date : 1991-11
Many Particle Theory written by Eberhard K. U. Gross and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-11 with Art categories.
The quantum theory of many-particle systems has applications in various branches of physics including condensed matter, atomic, molecular, nuclear and high-energy. An understanding of this theory is therefore important to most students of physics and Many-Particle Theory is an excellent introduction to the subject. Many-Particle Theory presents a detailed and logical account of the theory and techniques used. Basic subjects such as Green's functions and Feynman diagrams are discussed in detail, and many examples and applications are given, such as the Hartee-Fock approximation, superconductivity and the Kondo problem. Due to the detailed derivations and the fact that only a grasp of basic quantum mechanics is assumed, the book is an ideal textbook for graduate students and teachers of physics. The comprehensive bibliography contains many recent books and articles for further studies. Many-Particle Theory is a translation of the second German edition, which is an expanded version of the popular first edition. All three authors, E K U Gross, E Runge and O Heinonen, are well respected researchers in the field.
Integrable Systems From Classical To Quantum
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Author : John P. Harnad
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Integrable Systems From Classical To Quantum written by John P. Harnad and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This volume presents the papers based upon lectures given at the 1999 Séminaire de Mathémathiques Supérieurs held in Montreal. It includes contributions from many of the most active researchers in the field. This subject has been in a remarkably active state of development throughout the past three decades, resulting in new motivation for study in r s3risingly different directions. Beyond the intrinsic interest in the study of integrable models of many-particle systems, spin chains, lattice and field theory models at both the classical and the quantum level, and completely solvable models in statistical mechanics, there have been new applications in relation to a number of other fields of current interest. These fields include theoretical physics and pure mathematics, for example the Seiberg-Witten approach to supersymmetric Yang-Mills theory, the spectral theory of random matrices, topological models of quantum gravity, conformal field theory, mirror symmetry, quantum cohomology, etc. This collection gives a nice cross-section of the current state of the work in the area of integrable systems which is presented by some of the leading active researchers in this field. The scope and quality of the articles in this volume make this a valuable resource for those interested in an up-to-date introduction and an overview of many of the main areas of study in the theory of integral systems.