On the notion of ergodicity for finite quantum systems

DOI10.4171/RLM/528zbMath1194.81095OpenAlexW2090805991MaRDI QIDQ993414

Stefano Isola, Mirko Degli Esposti, Sandro Graffi

Publication date: 19 September 2010

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=19&iss=4&rank=5

zbMATH Keywords

quantum ergodicityBoltzmann ergodicityquantized toral automorphisms

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Applications of operator theory in the physical sciences (47N50) Quantum chaos (81Q50) Applications of selfadjoint operator algebras to physics (46L60) General mathematical topics and methods in quantum theory (81Q99) Low-dimensional dynamical systems (37E99)

Cites Work

• Ergodicity and eigenfunctions of the Laplacian
• Quantization of a class of piecewise affine transformations on the torus

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