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Wigner-Type Theorems for Hilbert Grassmannians


Part of London Mathematical Society Lecture Note Series

  • Author: Mark Pankov, Uniwersytet Warmińsko-Mazurski, Poland
  • Date Published: January 2020
  • availability: In stock
  • format: Paperback
  • isbn: 9781108790918

£ 56.99

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About the Authors
  • 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.

    • Contains a brief description of all necessary facts from the basic theory, making the book accessible for graduate students and non-expert researchers
    • Describes connections between different branches of mathematics, including incidence geometry, graph theory and quantum mechanics
    • Creates a unified approach by applying geometric methods to preserver problems in quantum mechanics
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    Product details

    • Date Published: January 2020
    • format: Paperback
    • isbn: 9781108790918
    • length: 152 pages
    • dimensions: 228 x 153 x 10 mm
    • weight: 0.24kg
    • availability: In stock
  • Table of Contents

    1. Two lattices
    2. Geometric transformations of Grassmannians
    3. Lattices of closed subspaces
    4. Wigner's theorem and its generalizations
    5. Compatibility relation
    6. Applications

  • Author

    Mark Pankov, Uniwersytet Warmińsko-Mazurski, Poland
    Mark Pankov is Professor of Mathematics at Uniwersytet Warmińsko-Mazurski, Poland. His research interests include preserver problems in operator theory related to quantum mechanics, geometry of linear codes, and zig-zags in discrete objects. He is the author of Grassmannians of Classical Buildings (2010) and Geometry of Semilinear Embeddings: Relations to Graphs and Codes (2015).

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