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.
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.
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.
