Semiclassical properties and chaos degree for the quantum Baker’s map

DOI10.1063/1.1420743zbMath1059.81067arXivquant-ph/0110135OpenAlexW3100715382MaRDI QIDQ4830707

Kei Inoue, Masanori Ohya, Igor V. Volovich

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0110135

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (5)

Non-Kolmogorovian approach to the context-dependent systems breaking the classical probability law ⋮ On a Combined Quantum Baker's Map and Its Characterization by Entropic Chaos Degree ⋮ On functional approach to classical mechanics ⋮ An extension of the entropic chaos degree and its positive effect ⋮ О классическом и функциональном подходах к механике

Cites Work

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• Application of chaos degree to some dynamical systems
• Chaos in M(atrix) theory
• Periodic orbit theory for the quantized Baker's map
• On the quantum baker's map and its unusual traces
• Optical realization of the baker's transformation
• Path integral for the quantum baker's map
• Anosov actions on noncommutative algebras

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