Path integrals and edge corrections for torus maps

DOI10.1016/0167-2789(95)00308-8zbMath0890.58055OpenAlexW2014858222MaRDI QIDQ1915062

M. G. E. da Luz, Alfredo M. Ozorio de Almeida

Publication date: 10 June 1996

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00308-8

zbMATH Keywords

semiclassical approximationpath integralstorusbaker mapquantum mapscut mapPoisson sums

Mathematics Subject Classification ID

Quantum chaos (81Q50) Path integrals in quantum mechanics (81S40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Ultra-light and strong: The massless harmonic oscillator and its singular path integral ⋮ Poincaré's recurrence theorem and the unitarity of the \(S\)-matrix

Cites Work

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• Classical structures in the quantized Baker transformation
• Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
• The quantized Baker's transformation
• Semiclassical dynamics in the strongly chaotic regime: Breaking the log time barrier
• Towards a semiclassical theory of the quantum Baker's map
• Quantization of Anosov maps
• Periodic orbit theory for the quantized Baker's map
• The cat maps: quantum mechanics and classical motion
• Hamiltonian Systems
• Path integral for the quantum baker's map
• Path integrals in the symbol space of chaotic mappings
• Semiclassical asymptotics of perturbed cat maps

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