Wigner-type theorems for Hilbert Grassmannians
著者
書誌事項
Wigner-type theorems for Hilbert Grassmannians
（London Mathematical Society lecture note series, 460）
Cambridge University Press, 2020
- : pbk
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注記
Includes bibliographical references (p. 141-144) and index
内容説明・目次
内容説明
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.
目次
- Introduction
- 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
- References
- Index.
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