Fractional Statistics And Quantum Theory 2nd Edition

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Fractional Statistics And Quantum Theory
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Author : Avinash Khare
language : en
Publisher: World Scientific
Release Date : 1998-03-09
Fractional Statistics And Quantum Theory written by Avinash Khare and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-09 with categories.
This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced research workers with a reasonable background in quantum and statistical mechanics. The main emphasis will be on explaining new concepts.Topics in the first part of the book includes the flux tube model of anyons, the braid group and quantum and statistical mechanics of noninteracting anyon gas.The second part of the book provides a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here includes Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect.A chapter will also be devoted to the recent topic of fractional exclusion statistics and the concepts will be illustrated with the example of the Calogero-Sutherland model.
Fractional Statistics And Quantum Theory 2nd Edition
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Author : Avinash Khare
language : en
Publisher: World Scientific
Release Date : 2005-02-02
Fractional Statistics And Quantum Theory 2nd Edition written by Avinash Khare and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-02 with Science categories.
This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics.Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas.The second part of the book includes a detailed discussion about fractional statistics from the point of view of Chern-Simons theories. Topics covered here include Chern-Simons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect.Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities.
Fractional Statistics And Anyon Superconductivity
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Author : Frank Wilczek
language : en
Publisher: World Scientific
Release Date : 1990
Fractional Statistics And Anyon Superconductivity written by Frank Wilczek and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Technology & Engineering categories.
Part I: Concepts in fractional statistics, part II: States of anyon matter, part III: Reprinted papers
Mathematical Physics With Differential Equations
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Author : Yisong Yang
language : en
Publisher: Oxford University Press
Release Date : 2023
Mathematical Physics With Differential Equations written by Yisong Yang and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Mathematics categories.
This textbook uses insight from differential equations to analyse fundamental subjects of modern theoretical physics, including classical and quantum mechanics, thermodynamics, electromagnetism, superconductivity, gravitational physics, and quantum field theories.
Anyons
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Author : Alberto Lerda
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-11
Anyons written by Alberto Lerda 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 2008-09-11 with Science categories.
Particles with fractional statistics interpolating between bosons and fermions have attracted considerable interest from mathematical physicists. In recent years it has emerged that these so-called anyons have rather unexpected applications, such as the fractional Hall effect, anyonic excitations in films of liquid helium, and high-temrperature superconductivity. Furthermore, they are discussed also in the context of conformal field theories. This book is a systematic and pedagogical introduction that considers the subject of anyons from many different points of view. In particular, the author presents the relation of anyons to braid groups and Chern-Simons field theory and devotes three chapters to physical applications. The book, while being of interest to researchers, primarily addresses advanced students of mathematics and physics.
Quantum Field Theory In A Nutshell
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Author : Anthony Zee
language : en
Publisher: Princeton University Press
Release Date : 2010-02-01
Quantum Field Theory In A Nutshell written by Anthony Zee 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 2010-02-01 with Science categories.
A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University
On Three Levels
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Author : Mark Fannes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
On Three Levels written by Mark Fannes 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.
This volume contains the proceedings of a five-day NATO Advanced Research Workshop "On Three Levels, the mathematical physics of micro-, meso-, and macro phenomena," conducted from July 19 to 23 in Leuven, Belgium. The main purpose of the workshop was to bring together and to confront where relevant, classical and quantum approaches in the rigorous study of the relation between the various levels of physical description. The reader will find here discussions on a variety of topics involving a broad range of scales. For the micro-level, contributions are presented on models of reaction-diffusion pro cesses, quantum groups and quantum spin systems. The reports on quantum disorder, the quantum Hall effect, semi-classical approaches of wave mechanics and the random Schrodinger equation can be situated on the meso-level. Discussions on macroscopic quantum effects and large scale fluctuations are dealing with the macroscopic level of description. These three levels are however not independent and emphasis is put on relating these scales of description. This is especially the case for the contributions on kinetic and hydrodynamicallimits, the discussions on large deviations and the strong and weak coupling limits. The advisory board was composed of J.L. Lebowitz, J.T. Lewis and E.H. Lieb. The organizing committee was formed by Ph.A. Martin, G.L. Sewell, E.R. Speer and A.
Structural Aspects Of Quantum Field Theory And Noncommutative Geometry Second Edition In 2 Volumes
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Author : Gerhard Grensing
language : en
Publisher: World Scientific
Release Date : 2021-07-15
Structural Aspects Of Quantum Field Theory And Noncommutative Geometry Second Edition In 2 Volumes written by Gerhard Grensing and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-15 with Science categories.
The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.
The Pauli Exclusion Principle
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Author : Ilya G. Kaplan
language : en
Publisher: John Wiley & Sons
Release Date : 2017-01-17
The Pauli Exclusion Principle written by Ilya G. Kaplan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-17 with Science categories.
This is the first scientic book devoted to the Pauli exclusion principle, which is a fundamental principle of quantum mechanics and is permanently applied in chemistry, physics, and molecular biology. However, while the principle has been studied for more than 90 years, rigorous theoretical foundations still have not been established and many unsolved problems remain. Following a historical survey in Chapter 1, the book discusses the still unresolved questions around this fundamental principle. For instance, why, according to the Pauli exclusion principle, are only symmetric and antisymmetric permutation symmetries for identical particles realized, while the Schrödinger equation is satisfied by functions with any permutation symmetry? Chapter 3 covers possible answers to this question. The construction of function with a given permutation symmetry is described in the previous Chapter 2, while Chapter 4 presents effective and elegant methods for finding the Pauli-allowed states in atomic, molecular, and nuclear spectroscopy. Chapter 5 discusses parastatistics and fractional statistics, demonstrating that the quasiparticles in a periodical lattice, including excitons and magnons, are obeying modified parafermi statistics. With detailed appendices, The Pauli Exclusion Principle: Origin, Verifications, and Applications is intended as a self-sufficient guide for graduate students and academic researchers in the fields of chemistry, physics, molecular biology and applied mathematics. It will be a valuable resource for any reader interested in the foundations of quantum mechanics and its applications, including areas such as atomic and molecular spectroscopy, spintronics, theoretical chemistry, and applied fields of quantum information.
Solid State Physics
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Author : D. W. Snoke
language : en
Publisher: Cambridge University Press
Release Date : 2020-01-09
Solid State Physics written by D. W. Snoke 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 2020-01-09 with Science categories.
Focuses on the essential concepts needed for an intuitive understanding of modern solid state theory and its experimental applications.