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Supersymmetric Methods in Quantum and Statistical Physics

  • Book
  • © 1996

Overview

Authors:
  1. Georg Junker

    1. Institut für Theoretische Physik, Universität Erlangen-Nürnberg, Erlangen, Germany

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Part of the book series: Theoretical and Mathematical Physics (TMP)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Introduction

    • Felix Klein
    Pages 1-5

  3. Supersymmetric Quantum Mechanics

    • Georg Junker
    Pages 7-19

  4. The Witten Model

    • Georg Junker
    Pages 21-35

  5. Supersymmetric Classical Mechanics

    • Georg Junker
    Pages 37-52

  6. Exact Solution of Eigenvalue Problems

    • Georg Junker
    Pages 53-66

  7. Quasi-Classical Path-Integral Approach

    • Georg Junker
    Pages 67-91

  8. Supersymmetry in Classical Stochastic Dynamics

    • Georg Junker
    Pages 93-107

  9. Supersymmetry in the Pauli and Dirac Equation

    • Georg Junker
    Pages 109-120

  10. Concluding Remarks and Overview

    • Georg Junker
    Pages 121-124

  11. Back Matter

    Pages 125-172
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Keywords

About this book

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.

Authors and Affiliations

  • Institut für Theoretische Physik, Universität Erlangen-Nürnberg, Erlangen, Germany

    Georg Junker

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