Semiclassical theory of the sawtooth map

DOI10.1016/0375-9601(94)90217-8zbMath0960.81518OpenAlexW2058590956MaRDI QIDQ1965004

Arul Lakshminarayan

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90217-8

Mathematics Subject Classification ID

Quantum chaos (81Q50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Unnamed Item, Recycling diffusion in sawtooth and cat maps

Cites Work

• Unnamed Item
• Resonances and transport in the sawtooth map
• 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
• On the quantum cat and sawtooth maps -- return to generic behaviour
• The Arnol'd cat: Failure of the correspondence principle
• Semiclassical dynamics in the strongly chaotic regime: Breaking the log time barrier
• Periodic orbit theory for the quantized Baker's map
• Renormalisation of curlicues
• Quantum eigenvalues from classical periodic orbits