Wigner-Type Theorems for Hilbert Grassmannians

by Mark Pankov

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.

• Format: Paperback
• Language: English
• ISBN: 1108790917
• ISBN13: 9781108790918
• Release Date: March 2020
• Publisher: Cambridge University Press
• Length: 152 Pages
• Weight: 0.50 lbs.
• Dimensions: 0.3" x 6.2" x 8.9"