Quantum Dynamical Systems with Quasi--Discrete Spectrum

2003/12/17 by Slawomir Klimek, Klimek, Slawomir
Mathematics · Physics and Astronomy · #46L55 (Primary) #47L90 (Secondary) #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Random Matrices and Applications #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.OA #msc:46L55 #msc:47L90

paper · pdf · doi:10.48550/arxiv.math/0312348

18 pages, plain TeX, revised version

openalex publication_date 2003/12/17 · arxiv created 2004/09/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study totally ergodic quantum dynamical systems with quasi--discrete spectrum. We investigate the classification problem for such systems in terms of algebraic invariants. The results are noncommutative analogs of (a part of) the theory of Abramov.

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