Advertisement

Table of contents

  1. Front Matter
  2. Gianni Cassinelli, Ernesto De Vito, Pekka J. Lahti, Alberto Levrero
    Pages 1-6
  3. Gianni Cassinelli, Ernesto De Vito, Pekka J. Lahti, Alberto Levrero
    Pages 7-25
  4. Gianni Cassinelli, Ernesto De Vito, Pekka J. Lahti, Alberto Levrero
    Pages 27-47
  5. Gianni Cassinelli, Ernesto De Vito, Pekka J. Lahti, Alberto Levrero
    Pages 49-59
  6. Gianni Cassinelli, Ernesto De Vito, Pekka J. Lahti, Alberto Levrero
    Pages 61-72
  7. Gianni Cassinelli, Ernesto De Vito, Pekka J. Lahti, Alberto Levrero
    Pages 73-87
  8. Gianni Cassinelli, Ernesto De Vito, Pekka J. Lahti, Alberto Levrero
    Pages 89-101
  9. Back Matter

About this book

Introduction

This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.

Keywords

Symmetry group galilei group group isomorphisms homomorphism particles quantum mechanics symmetries in quantum mechanics symmetry action

Bibliographic information

  • DOI https://doi.org/10.1007/b99455
  • Copyright Information Springer-Verlag Berlin/Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-22802-8
  • Online ISBN 978-3-540-44509-8
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site