Towards a semiclassical theory of the quantum Baker's map

DOI10.1016/S0167-2789(05)80007-7zbMath0888.58036OpenAlexW4231982698MaRDI QIDQ1341003

André Voros, Marcos Saraceno

Publication date: 21 December 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(05)80007-7

zbMATH Keywords

semiclassical theoryquantum Baker's map

Mathematics Subject Classification ID

Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (19)

Quantum zeta function for perturbed cat maps ⋮ The quantized D-transformation ⋮ Resonances for open quantum maps and a fractal uncertainty principle ⋮ Quantum variance and ergodicity for the baker's map ⋮ Semiclassical properties and chaos degree for the quantum Baker’s map ⋮ Path integrals and edge corrections for torus maps ⋮ Distribution of resonances for open quantum maps ⋮ Lyapunov decay in quantum irreversibility ⋮ Weyl laws for open quantum maps ⋮ Average localization of resonances on the quantum repeller ⋮ Clustering of periodic orbits and ensembles of truncated unitary matrices ⋮ Unnamed Item ⋮ Chaotic tunneling: A remarkable manifestation of complex classical dynamics in non-integrable quantum phenomena ⋮ Disheveled Arnold's cat and the problem of quantum-classic correspondence ⋮ On a Combined Quantum Baker's Map and Its Characterization by Entropic Chaos Degree ⋮ Periodic orbit quantization of chaotic maps by harmonic inversion ⋮ The Analysis of Eigenstates of a Few Generalized Quantum Baker’s Maps Using Hadamard and Related Transforms ⋮ QUANTUM MAPS WITH SPACE EXTENT: A PARADIGM FOR LATTICE QUANTUM WALKS ⋮ Statistical properties of actions of periodic orbits

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