Supersymmetric Methods In Quantum And Statistical Physics
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Supersymmetric Methods In Quantum And Statistical Physics
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Author : Georg Junker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Supersymmetric Methods In Quantum And Statistical Physics written by Georg Junker 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 2012-12-06 with Science categories.
The idea of supersymmetry was originally introduced in relativistic quantum field theories as a generalization of Poincare symmetry. In 1976 Nicolai sug gested an analogous generalization for non-relativistic quantum mechanics. With the one-dimensional model introduced by Witten in 1981, supersym metry became a major tool in quantum mechanics and mathematical, sta tistical, and condensed-IIll;l. tter physics. Supersymmetry is also a successful concept in nuclear and atomic physics. An underlying supersymmetry of a given quantum-mechanical system can be utilized to analyze the properties of the system in an elegant and effective way. It is even possible to obtain exact results thanks to supersymmetry. The purpose of this book is to give an introduction to supersymmet ric quantum mechanics and review some of the recent developments of vari ous supersymmetric methods in quantum and statistical physics. Thereby we will touch upon some topics related to mathematical and condensed-matter physics. A discussion of supersymmetry in atomic and nuclear physics is omit ted. However, the reader will find some references in Chap. 9. Similarly, super symmetric field theories and supergravity are not considered in this book. In fact, there exist already many excellent textbooks and monographs on these topics. A list may be found in Chap. 9. Yet, it is hoped that this book may be useful in preparing a footing for a study of supersymmetric theories in atomic, nuclear, and particle physics. The plan of the book is as follows.
Supersymmetric Methods In Quantum Statistical And Solid State Physics
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Author : Georg Junker
language : en
Publisher:
Release Date : 2019
Supersymmetric Methods In Quantum Statistical And Solid State Physics written by Georg Junker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with SCIENCE categories.
As with the earlier edition, this book provides an accessible introduction to supersymmetric quantum mechanics and its applications in quantum, statistical and solid state physics. Building on the earlier edition it now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years including conditionally exactly solvable systems, models of classical field theory and the many new interesting aspects within the area of stochastic dynamics, the Pauli and Dirac Equation, coherent states and non-linear algebras. Aimed at graduate students and scientists this book provides a thorough review on supersymmetric quantum mechanics and now includes problems and solutions.
Supersymmetric Methods In Quantum Statistical And Solid State Physics Enlarged And Revised Edition
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Author : Priv Doz Georg Junker
language : en
Publisher: Institute of Physics Publishing
Release Date : 2019-01-31
Supersymmetric Methods In Quantum Statistical And Solid State Physics Enlarged And Revised Edition written by Priv Doz Georg Junker and has been published by Institute of Physics Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-31 with Science categories.
Building on the earlier edition, this updated work now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years. Aimed at graduate students and scientists, it provides a thorough review of supersymmetric quantum mechanics and now also includes problems and solutions.
Supersymmetric Methods In Quantum Statistical And Solid State Physics
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Author : Georg Junker
language : en
Publisher: Programme: Iop Expanding Physi
Release Date : 2019-01-31
Supersymmetric Methods In Quantum Statistical And Solid State Physics written by Georg Junker and has been published by Programme: Iop Expanding Physi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-31 with Science categories.
Building on the earlier edition it now encapsulates the substantial developments that have been made in supersymmetric quantum mechanics in recent years. Aimed at graduate students and scientists this book provides a thorough review supersymmetric quantum mechanics and now includes problems and solutions.
Supersymmetry In Quantum Mechanics
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Author : Fred Cooper
language : en
Publisher: World Scientific
Release Date : 2001
Supersymmetry In Quantum Mechanics written by Fred Cooper and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
This invaluable book provides an elementary description of supersymmetric quantum mechanics which complements the traditional coverage found in the existing quantum mechanics textbooks. It gives physicists a fresh outlook and new ways of handling quantum-mechanical problems, and also leads to improved approximation techniques for dealing with potentials of interest in all branches of physics. The algebraic approach to obtaining eigenstates is elegant and important, and all physicists should become familiar with this. The book has been written in such a way that it can be easily appreciated by students in advanced undergraduate quantum mechanics courses. Problems have been given at the end of each chapter, along with complete solutions to all the problems. The text also includes material of interest in current research not usually discussed in traditional courses on quantum mechanics, such as the connection between exact solutions to classical solution problems and isospectral quantum Hamiltonians, and the relation to the inverse scattering problem.
Supersymmetry In Quantum Mechanics
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Author : Fred Cooper
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2001
Supersymmetry In Quantum Mechanics written by Fred Cooper and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
This invaluable book provides an elementary description of supersymmetric quantum mechanics which complements the traditional coverage found in the existing quantum mechanics textbooks. It gives physicists a fresh outlook and new ways of handling quantum-mechanical problems, and also leads to improved approximation techniques for dealing with potentials of interest in all branches of physics. The algebraic approach to obtaining eigenstates is elegant and important, and all physicists should become familiar with this.The book has been written in such a way that it can be easily appreciated by students in advanced undergraduate quantum mechanics courses. Problems have been given at the end of each chapter, along with complete solutions to all the problems. The text also includes material of interest in current research not usually discussed in traditional courses on quantum mechanics, such as the connection between exact solutions to classical soliton problems and isospectral quantum Hamiltonians, and the relation to the inverse scattering problem.
The Supersymmetric Dirac Equation
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Author : Allen Hirshfeld
language : en
Publisher: World Scientific
Release Date : 2012
The Supersymmetric Dirac Equation written by Allen Hirshfeld and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.
The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in order to introduce the new concepts in a familiar context. The symmetry of the non-relativistic model is already present in the classical limit, so the classical Kepler problem is first discussed in order to bring out the role played by the Laplace vector, one of the central concepts of the whole book. Analysis of the concept of eccentricity of the orbits turns out to be essential to understanding the relation of the classical and quantum mechanical models. The opportunity is taken to relive the great moments of physics: From Kepler's discovery of the laws of motion of the planets the development is traced through the Dirac equation up to modern advances, which bring the concepts of supersymmetry to bear on the derivation of the solutions.
Supersymmetry In Disorder And Chaos
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Author : Konstantin Efetov
language : en
Publisher: Cambridge University Press
Release Date : 1999-09-13
Supersymmetry In Disorder And Chaos written by Konstantin Efetov 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 1999-09-13 with Mathematics categories.
This book provides a comprehensive treatment of the ideas and applications of supersymmetry.
The Statistical Mechanics Of Financial Markets
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Author : Johannes Voit
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
The Statistical Mechanics Of Financial Markets written by Johannes Voit 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 2013-06-29 with Science categories.
These book grew out of a course entitled "Physikalische Modelle in der Fi nanzwirtschaft" which I have taught at the University of Freiburg during the winter term 1998/1999, building on a similar course a year before at the University of Bayreuth. It was an experiment. My interest in the statistical mechanics of capital markets goes back to a public lecture on self-organized criticality, given at the University of Bayreuth in early 1994. Bak, Tang, and Wiesenfeld, in the first longer paper on their theory of self-organized criticality [Phys. Rev. A 38, 364 (1988)] mention Mandelbrot's 1963 paper [J. Business 36, 394 (1963)] on power-law scaling in commodity markets, and speculate on economic systems being described by their theory. Starting from about 1995, papers appeared with increasing frequency on the Los Alamos preprint server, and in the physics literature, showing that physicists found the idea of applying methods of statistical physics to problems of economy exciting and that they produced interesting results. I also was tempted to start work in this new field. However, there was one major problem: my traditional field of research is the theory of strongly correlated quasi-one-dimensional electrons, conducting polymers, quantum wires and organic superconductors, and I had no prior education in the advanced methods of either stochastics and quantitative finance.
Symmetries In Quantum Mechanics And Statistical Physics
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Author : Georg Junker
language : en
Publisher: Mdpi AG
Release Date : 2021-12-27
Symmetries In Quantum Mechanics And Statistical Physics written by Georg Junker and has been published by Mdpi AG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-27 with Science categories.
This book collects contributions to the Special Issue entitled "Symmetries in Quantum Mechanics and Statistical Physics" of the journal Symmetry. These contributions focus on recent advancements in the study of PT-invariance of non-Hermitian Hamiltonians, the supersymmetric quantum mechanics of relativistic and non-relativisitc systems, duality transformations for power-law potentials and conformal transformations. New aspects on the spreading of wave packets are also discussed.