Tomita representation of the Arnol'd cat map

DOI10.1007/BF02082943zbMath0857.46056MaRDI QIDQ1910887

Hans H. Grelland

Publication date: 17 October 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

exponential decay of correlationsArnol'd cat map modelTomita Hilbert-space representation

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Applications of functional analysis in quantum physics (46N50) Ergodic theory (37A99)

Cites Work

• A non-commutative version of the Arnold cat map
• The Arnol'd cat: Failure of the correspondence principle
• Tomita representations of quantum and classical mechanics in a bra/ket formulation
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