Supersymmetric Methods in Quantum and Statistical Physics

  • Georg Junker

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Felix Klein
    Pages 1-5
  3. Georg Junker
    Pages 7-19
  4. Georg Junker
    Pages 21-35
  5. Georg Junker
    Pages 37-52
  6. Georg Junker
    Pages 53-66
  7. Georg Junker
    Pages 67-91
  8. Georg Junker
    Pages 121-124
  9. Back Matter
    Pages 125-172

About this book

Introduction

This book gives an introduction to supersymmetric quantum mechanics and a comprehensive review of its applications in quantum and statistical physics. The author discusses the classical and quantum versions of Witten's model and exact spectral properties of the model for the so-called shape invariant potentials. The quasi-classical quantization rules are derived and other topics include the supersymmetric structure of a classical stochastic dynamical system obeying the Langevin or the Fokker-Planck equation, Pauli's Hamiltonian and its application to the paragmagnetism of a non-interacting electron gas in two and three dimensions, and supersymmetry of Dirac's Hamiltonian. The book addresses graduate students as well as scientists.

Keywords

Dirac equation Potential dynamical systems eigenvalue mechanics quantization quantum mechanics statistical physics supersymmetry

Authors and affiliations

  • Georg Junker
    • 1
  1. 1.Institut für Theoretische PhysikUniversität Erlangen-NürnbergErlangenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61194-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61591-0
  • Online ISBN 978-3-642-61194-0
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • About this book