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Operational Quantum Theory II

Relativistic Structures

  • Heinrich Saller

Part of the Operational Physics book series (OPPH)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Pages 1-15
  3. Pages 17-46
  4. Pages 73-93
  5. Pages 131-156
  6. Pages 157-205
  7. Pages 207-269
  8. Pages 299-330
  9. Back Matter
    Pages 331-333

About this book

Introduction

Operational Quantum Theory II 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 the objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically relativistic quantum field theory is developed the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. This book deals with the operational concepts of relativistic space time, the Lorentz and Poincaré group operations and their unitary representations, particularly the elementary articles. Also discussed are eigenvalues and invariants for non-compact operations in general as well as the harmonic analysis of noncompact nonabelian Lie groups and their homogeneous spaces. In addition to the operational formulation of the standard model of particle interactions, an attempt is made to understand the particle spectrum with the masses and coupling constants as the invariants and normalizations of a tangent representation structure of a an homogeneous space time model.

Operational Quantum Theory II aims to understand more deeply on an operational basis what one is working with in relativistic quantum field theory, but also suggests new solutions to previously unsolved problems.

Keywords

Eigenvalue Lie algebra Representation theory Vector space quantum mechanics

Authors and affiliations

  • Heinrich Saller
    • 1
  1. 1.Werner-Heisenberg InstitutMax-Planck Institut fär PhysikMünchenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-34644-9
  • Copyright Information Springer Science+Business Media, Inc. 2006
  • Publisher Name Springer, New York, NY
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-0-387-29776-7
  • Online ISBN 978-0-387-34644-1
  • Buy this book on publisher's site