Wigner-Type Theorems for Hilbert Grassmannians
$73.99 (C)
Part of London Mathematical Society Lecture Note Series
- Author: Mark Pankov, Uniwersytet Warmińsko-Mazurski, Poland
- Date Published: March 2020
- availability: In stock
- format: Paperback
- isbn: 9781108790918
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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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×Product details
- 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
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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