On the quantum cat and sawtooth maps -- return to generic behaviour

DOI10.1016/0960-0779(94)E0060-3zbMath0900.81041arXivchao-dyn/9307005OpenAlexW2009187283WikidataQ127977082 ScholiaQ127977082MaRDI QIDQ1129347

N. L. Balazs, Arul Lakshminarayan

Publication date: 5 November 1998

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9307005

Mathematics Subject Classification ID

Quantum chaos (81Q50)

Related Items

Semiclassical theory of the sawtooth map, Disheveled Arnold's cat and the problem of quantum-classic correspondence, Level velocity statistics of hyperbolic chaos, Entanglement Generation of Nearly Random Operators

Cites Work

• Classical structures in the quantized Baker transformation
• Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
• A linear code for the sawtooth and cat maps
• Periodic orbits of the sawtooth maps
• The quantized Baker's transformation
• The Arnol'd cat: Failure of the correspondence principle
• Period of a Discrete Cat Mapping
• Evolution of semiclassical quantum states in phase space