Wigner-Type Theorems for Hilbert Grassmannians
eBook - PDF

Wigner-Type Theorems for Hilbert Grassmannians

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Wigner-Type Theorems for Hilbert Grassmannians

About this book

Wigner's theorem is a fundamental part of the mathematical formulation of quantum mechanics. The theorem characterizes unitary and anti-unitary operators as symmetries of quantum mechanical systems, and is a key result when relating preserver problems to quantum mechanics. At the heart of this book is a geometric approach to Wigner-type theorems, unifying both classical and more recent results. Readers are initiated in a wide range of topics from geometric transformations of Grassmannians to lattices of closed subspaces, before moving on to a discussion of applications. An introduction to all the key aspects of the basic theory is included as are plenty of examples, making this book a useful resource for beginning graduate students and non-experts, as well as a helpful reference for specialist researchers.

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Table of contents

  1. Cover
  2. Series page
  3. Title page
  4. Copyright page
  5. Contents
  6. Preface
  7. Introduction
  8. 1 Two Lattices
  9. 2 Geometric Transformations of Grassmannians
  10. 3 Lattices of Closed Subspaces
  11. 4 Wigner’s Theorem and Its Generalizations
  12. 5 Compatibility Relation
  13. 6 Applications
  14. References
  15. Index

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Yes, you can access Wigner-Type Theorems for Hilbert Grassmannians by Mark Pankov in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.