Geometry of Quantum Theory

  • V. S. Varadarajan

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Projective Geometry

    1. Front Matter
      Pages 1-1
    2. V. S. Varadarajan
      Pages 3-19
    3. V. S. Varadarajan
      Pages 20-33
    4. V. S. Varadarajan
      Pages 50-66
    5. V. S. Varadarajan
      Pages 67-102
  3. The Logic of Quantum Mechanics

    1. Front Matter
      Pages 103-103
    2. V. S. Varadarajan
      Pages 105-133
    3. V. S. Varadarajan
      Pages 134-184
  4. Back Matter
    Pages 185-193

About this book

Introduction

The present work is the first volume of a substantially enlarged version of the mimeographed notes of a course of lectures first given by me in the Indian Statistical Institute, Calcutta, India, during 1964-65. When it was suggested that these lectures be developed into a book, I readily agreed and took the opportunity to extend the scope of the material covered. No background in physics is in principle necessary for understand­ ing the essential ideas in this work. However, a high degree of mathematical maturity is certainly indispensable. It is safe to say that I aim at an audience composed of professional mathematicians, advanced graduate students, and, hopefully, the rapidly increasing group of mathematical physicists who are attracted to fundamental mathematical questions. Over the years, the mathematics of quantum theory has become more abstract and, consequently, simpler. Hilbert spaces have been used from the very beginning and, after Weyl and Wigner, group representations have come in conclusively. Recent discoveries seem to indicate that the role of group representations is destined for further expansion, not to speak of the impact of the theory of several complex variables and function-space analysis. But all of this pertains to the world of interacting subatomic particles; the more modest view of the microscopic world presented in this book requires somewhat less. The reader with a knowledge of abstract integration, Hilbert space theory, and topological groups will find the going easy.

Keywords

Morphism algebra function geometry mathematics quantum mechanics variable

Authors and affiliations

  • V. S. Varadarajan
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-7706-5
  • Copyright Information Springer-Verlag New York 1968
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4615-7708-9
  • Online ISBN 978-1-4615-7706-5
  • About this book