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  3. Wigner-Type Theorems for Hilbert Grassmannians
  • Cited by 7
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    • Publisher:
      Cambridge University Press
      Publication date:
      06 January 2020
      16 January 2020
      ISBN:
      9781108800327
      9781108790918
      DOI:
      https://doi.org/10.1017/9781108800327
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.24kg, 152 Pages
      • Subjects:
      Mathematics (general), Mathematics, Mathematical Physics, Abstract Analysis
      Series:
      London Mathematical Society Lecture Note Series (460)
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    Subjects:
    Mathematics (general), Mathematics, Mathematical Physics, Abstract Analysis
    Series:
    London Mathematical Society Lecture Note Series (460)
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    Book description

    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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    Contents

    Contents
    • 3 - Lattices of Closed Subspaces
      pp 53-67
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