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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.Read more
- 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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- Date Published: March 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
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