Operational Quantum Theory I

Nonrelativistic Structures

  • Heinrich Saller

Part of the Operational Physics book series (OPPH)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Pages 1-15
  3. Pages 71-123
  4. Pages 183-229
  5. Pages 231-254
  6. Pages 255-300
  7. Pages 301-344
  8. Pages 345-402
  9. Back Matter
    Pages 403-408

About this book

Introduction

Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of these objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically nonrelativistic quantum mechanics, is developed from the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. In this book, time and space related finite dimensional representation structures and simple Lie operations, and as a non-relativistic application, the Kepler problem which has long fascinated quantum theorists, are dealt with in some detail. Operational Quantum Theory I features many structures which allow the reader to better understand the applications of operational quantum theory, and to provide conceptually appropriate descriptions of the subject.

Operational Quantum Theory I aims to understand more deeply on an operational basis what one is working with in nonrelativistic quantum theory, but also suggests new approaches to the characteristic problems of quantum mechanics.

Keywords

Lie algebra Vector space algebra lie group mechanics quantum mechanics quantum theory relativistic quantum mechanics representation theory

Authors and affiliations

  • Heinrich Saller
    • 1
  1. 1.Max-Planck Institut für PhysikWerner-Heisenberg InstitutMünchenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-34643-0
  • Copyright Information Springer Science+Business Media, Inc. 2006
  • Publisher Name Springer, New York, NY
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-0-387-29199-4
  • Online ISBN 978-0-387-34643-4
  • About this book