Mark Pankov

Wigner-Type Theorems for Hilbert Grassmannians (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 16. Januar 2020
• Englisch
• ISBN-13: 9781108848398
• Artikelnr.: 66185353

Autorenporträt

Mark Pankov is Professor of Mathematics at Uniwersytet Warmi¿sko-Mazurski, Poland. His research interests include preserver problems in operator theory related to quantum mechanics, geometry of linear codes, and zig-zags in discrete objects. He is the author of Grassmannians of Classical Buildings (2010) and Geometry of Semilinear Embeddings: Relations to Graphs and Codes (2015).

Inhaltsangabe

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.