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Monday, April 20, 2020 | History

5 edition of Fractional statistics and quantum theory found in the catalog.

Fractional statistics and quantum theory

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  • 3 Currently reading

Published by World Scientific in Singapore, River Edge, N.J .
Written in English

    Subjects:
  • Anyons -- Statistical methods.,
  • Quantum theory.,
  • Quantum statistics.

  • Edition Notes

    Includes bibliographical references and index.

    StatementAvinash Khare.
    Classifications
    LC ClassificationsQC793.5.A25 K43 1997
    The Physical Object
    Paginationxi, 309 p. :
    Number of Pages309
    ID Numbers
    Open LibraryOL694258M
    ISBN 109810225229
    LC Control Number97041556

      Fractional Statistics And Anyon Superconductivity by Frank Wilczek, , available at Book Depository with free delivery worldwide.5/5(1). This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods in condensed matter physics. symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological/quantum order, spin liquid and.


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Fractional statistics and quantum theory by Avinash Khare Download PDF EPUB FB2

Get this from a library. Fractional statistics and quantum theory. [Avinash Khare] -- "This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory.

This is the only book on the subject covering almost all. Get this from a library. Fractional statistics and quantum theory. [Avinash Khare] -- 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. 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 by: " Fractional Statistics and Quantum Theory " by Khare [32] presents an overview of different types of fractional statistics, including Haldane exclusion statistics, Gentile statistics, and.

Book Title:Fractional Statistics And Quantum Theory 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.

Fractional Statistics And Quantum Theory, Second Edition Avinash Khare. 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.

System Upgrade on Tue, May 19th, at 2am (ET) During this period, E-commerce and registration of new users may not be available for up to 12 hours. 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 : AVINASH KHARE. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market.

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. adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A.

Fractional Statistics and Chern-Simons Field Theory in 2+1 Dimensions Now, in relativistic quantum field theory, there is a deep and profound connection between the spin and the statistics i.e.

particles with half integer spin are fermions, satisfying Fermi-Dirac statistics, while those with integer In this book, we shall be. 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. Fractional Statistics and Quantum Theory. Edited by KHARE AVINASH. Published by World Scientific Publishing Co. Pte. Ltd. Fractional statistics and quantum theory Avinash Khare.

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.

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.

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 by: 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 : Avinash Khare. Fractional Statistics And Quantum Theory (2nd Edition) by Avinash Khare,available at Book Depository with free delivery : Avinash Khare.

The occurrence of fractional statistics has been discovered in more and more quantum field theory models, including some of the most geometrical and canonical ones.

In a remarkable case, the fractional quantum statistics of quasiparticles in the fractional quantized Hall effect (FQHE) contributes to the understanding of states found there. Very recent work has indicated that similar. Anyons: Quantum Mechanics of Particles with Fractional Statistics By far the best resource on this list.

Alberto Lerda's book is the book on anyonic physics, and the best, clearest resource on the subject. In physics, fractional quantum mechanics is a generalization of standard quantum mechanics, which naturally comes out when the Brownian-like quantum paths substitute with the Lévy-like ones in the Feynman path concept was discovered by Nick Laskin who coined the term fractional quantum mechanics.

The occurrence of fractional statistics has been discovered in more and more quantum field theory models, including some of the most geometrical and canonical ones. In a remarkable case, the fractional quantum statistics of quasiparticles in the fractional quantized Hall effect (FQHE) contributes to the understanding of states found there.5/5(1).

Fractional statistics [ 1 ] and topological quantum field theories [ 2 ] are new ideas developed in theoretical physics in the last few years. Statistical transmutation first appeared in the formal context of quantum mechanics [ 3 ], but its importance and physical relevance was only understood by the works of Wilczek [4], Wu [5], Wilczek and Cited by: 1.

The U.S. Department of Energy's Office of Scientific and Technical Information. The NOOK Book (eBook) of the Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by Hagen Kleinert at Barnes & Due to COVID, orders may be delayed.

The Chern–Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall : NOOK Book (Ebook).

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 in the first part of the book include the flux tube model of anyons, the.

NA quantum statistics T. Hansson Anyon School Berlin, Fractional quantum statistics T. Hansson, Stockholm University Outline: • What is fractional statistics. • Where does the quantum Hall effect enter. • What is non-Abelian fractional statistics. • File Size: 3MB. 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 Brand: Springer-Verlag Berlin Heidelberg.

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 presents the wide range of topics in two-dimensional physics of quantum Hall systems, especially fractional quantum Hall states. It starts with the fundamental problems of quantum statistics in two dimensions and the corresponding braid group formalism. The braid group formalism of anyons (previously known) is developed for composite fermions.

to Fractional Statistics in Two Dimensions.- Fractional Statistics in the Chern-Simons Gauge.- Fractional Statistics in the Anyon Gauge.- Non-relativistic Chern-Simons Field Theory.- Anyons in a Magnetic Field.- Statistical Mechanics of Anyons.- Anyons and the Fractional Quantum Hall Effect.- Anyons and Conformal Field : Alberto Lerda.

Abstract The following sections are included: * Introduction * Fractional Statistics and the Quantum Hall Effect * Cooperative Ring Exchange Theory * References.

The Quantum Hall E ect TIFR Infosys Lectures David Tong Xiao-Gang Wen, Quantum Field Theory of Many-Body Systems: From the Origin Fractional Statistics 92 Ground State Degeneracy and Topological Order 97 Other Filling Fractions 99 The Hierarchy File Size: 1MB.

The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and : Eduardo Fradkin.

Correlators and Fractional Statistics in the Quantum Hall Bulk Article (PDF Available) in Physical Review Letters 99(19) December with 21 Reads How we measure 'reads'.

We will discuss the integer quantum Hall effect in detail and briefly mention the fractional quantum Hall effect, discovered soon after, because a detailed discussion involving many-body theory is beyond the scope of this book.

Two-Dimensional Electron Gas. A standard notion of quantum mechanics is that all particles, elementary or composite, must fall into one of two fundamental categories: fermions or bosons. However, it has recently been discovered that there can be quantum particles which are neither fermions nor bosons.

Such particles (anyons) can only occur in two spatial dimensions—yet this does not rule out their existence, for they Cited by: Fractional Quantum Theory Avinash Khare Historical Review 3 Plan of the Book 13 2 Fractional Statistics in Two Dimensions 21 Introduction 21 Why Fractional Spin.

22 Why Fractional Statistics. 23 Basic Properties of Anyons 32 Flux Tube Model of Anyons 35 The Braid Group 41 3 Quantum Mechanics of Anyons 49 is fundamentally quantum mechanical, the foundations of information theory and computer science should be sought in quantum physics.

(John Preskill) With a background in high-energy Physics and in Computer Science, my in-terest in Quantum Information was evident after the Simons Conference on New Trends in Quantum Computation in. Fractional Derivatives for Physicists and Engineers— The first volume contains a clear introduction into such a modern branch of analysis as the fractional calculus.

The second develops a wide panorama of applications of the fractional calculus to various physical problems. specialists in theory of probability and statistics, in.Fundamental issues to describe the main elements of a possible theory of fractional probability, which could deal with defects in observation or defect in definition are analyzed.

Bohmian quantum mechanics with novel reinterpretations that provide a new understanding of quantum mechanics is advocated.Abstract: The question of anyons and fractional statistics in field theories in 2+1 dimensions with Chern-Simons (CS) term is discussed in some detail.

Arguments are spelled out as to why fractional statistics is only possible in two space dimensions. This phenomenon is most naturally discussed within the framework of field theories with CS term, hence as a prelude to this discussion I first Cited by: 4.