Wigner-Type Theorems for Hilbert Grassmannians

Wigner's theorem plays an important role in the mathematical foundations of quantum mechanics. This book provides a quick, accessible introduction to the geometric approach to Wigner-type theorems, unifying both classical and more recent results, and is suitable for graduate students as well as more experienced researchers.

List 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.

About the author

Mark Pankov is Professor of Mathematics at Uniwersytet Warmińsko-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).

Summary

Wigner's theorem plays an important role in the mathematical foundations of quantum mechanics. This book provides a quick, accessible introduction to the geometric approach to Wigner-type theorems, unifying both classical and more recent results, and is suitable for graduate students as well as more experienced researchers.

Product details

• Authors: Mark Pankov, Pankov Mark
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 29.02.2020
• EAN: 9781108790918
• ISBN: 978-1-108-79091-8
• No. of pages: 152
• Series: London Mathematical Society Lecture Note Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; Geometrie, Quantenphysik (Quantenmechanik und Quantenfeldtheorie), Mathematische Physik, MATHEMATICS / Mathematical Analysis, geometry, Quantum physics (quantum mechanics & quantum field theory), Quantum physics (quantum mechanics and quantum field theory), Mathematical physics, Functional analysis & transforms, Functional analysis and transforms