Anatomy of the trace formula for the baker’s map

DOI10.1063/1.165922zbMath1055.81559OpenAlexW2042139487WikidataQ73464198 ScholiaQ73464198MaRDI QIDQ4526217

André Voros, Marcos Saraceno

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165922

Mathematics Subject Classification ID

Quantum chaos (81Q50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (6)

Quantum zeta function for perturbed cat maps ⋮ Towards a semiclassical theory of the quantum Baker's map ⋮ Quantum chaos and random matrix theory - some new results ⋮ Accuracy of semiclassical dynamics in the presence of chaos ⋮ Periodic orbit quantization of chaotic maps by harmonic inversion ⋮ Quantum chaotic dynamics and random polynomials

Cites Work

• Classical structures in the quantized Baker transformation
• Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
• Spectral functions, special functions and the Selberg zeta function
• The quantized Baker's transformation
• The unusual nature of the quantum Baker's transformation
• Periodic orbit theory for the quantized Baker's map
• A rule for quantizing chaos?
• Unstable periodic orbits and semiclassical quantisation

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