Geometric Quantization and Quantum Mechanics

  • Jȩdrzej Śniatycki

Part of the Applied Mathematical Sciences book series (AMS, volume 30)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Jȩdrzej Śniatycki
    Pages 1-37
  3. Jȩdrzej Śniatycki
    Pages 38-50
  4. Jȩdrzej Śniatycki
    Pages 51-59
  5. Jȩdrzej Śniatycki
    Pages 60-76
  6. Jȩdrzej Śniatycki
    Pages 77-100
  7. Jȩdrzej Śniatycki
    Pages 101-113
  8. Jȩdrzej Śniatycki
    Pages 114-141
  9. Jȩdrzej Śniatycki
    Pages 142-159
  10. Jȩdrzej Śniatycki
    Pages 160-167
  11. Jȩdrzej Śniatycki
    Pages 168-197
  12. Jȩdrzej Śniatycki
    Pages 198-213
  13. Back Matter
    Pages 214-231

About this book

Introduction

This book contains a revised and expanded version of the lecture notes of two seminar series given during the academic year 1976/77 at the Department of Mathematics and Statistics of the University of Calgary, and in the summer of 1978 at the Institute of Theoretical Physics of the Technical University Clausthal. The aim of the seminars was to present geometric quantization from the point of view· of its applica­ tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as the result of the geometric quantization of the classical dynamics of these systems. The group representation aspects of geometric quantiza­ tion as well as proofs of the existence and the uniqueness of the introduced structures can be found in the expository papers of Blattner, Kostant, Sternberg and Wolf, and also in the references quoted in these papers. The books of Souriau (1970) and Simms and Woodhouse (1976) present the theory of geometric quantization and its relationship to quantum mech­ anics. The purpose of the present book is to complement the preceding ones by including new developments of the theory and emphasizing the computations leading to results in quantum mechanics.

Keywords

Quantenmechanik Quantisierung Quantization Theoretical physics quantum mechanics

Authors and affiliations

  • Jȩdrzej Śniatycki
    • 1
  1. 1.The University of CalgaryCalgaryCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-6066-0
  • Copyright Information Springer-Verlag New York 1980
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90469-6
  • Online ISBN 978-1-4612-6066-0
  • Series Print ISSN 0066-5452
  • About this book
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