On the torus automorphisms: analytic solution, computability and quantization

DOI10.1016/S0960-0779(01)00094-7zbMath1022.81013OpenAlexW1977162068MaRDI QIDQ1600487

P. Akritas, Ioannis E. Antoniou, G. P. Pron'ko

Publication date: 13 June 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00094-7

zbMATH Keywords

numerical solutionWeyl commutation relationArnold cat mapWeyl pair

Mathematics Subject Classification ID

Quantum chaos (81Q50) Geometry and quantization, symplectic methods (81S10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (1)

Embedding the torus automorphisms to Hamiltonian flows

Cites Work

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• Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map
• Author reply to: Comments on: `Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map' .
• UNITARY OPERATOR BASES
• The cat maps: quantum mechanics and classical motion
• The recently recognized failure of predictability in Newtonian dynamics
• Period of a Discrete Cat Mapping

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