QUANTUM AND THERMAL CORRECTIONS TO A CLASSICALLY CHAOTIC DISSIPATIVE SYSTEM

DOI10.1142/S0219493704001000zbMath1075.81030arXivquant-ph/0404001OpenAlexW2962953416MaRDI QIDQ5704745

Manuel Rodríguez-Achach, Hilda A. Cerdeira, Gabriel Pérez

Publication date: 15 November 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0404001

zbMATH Keywords

Langevin equationdissipative systemsquantum chaos

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Quantum chaos (81Q50) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• Path integral approach to quantum Brownian motion
• Noise, dissipation and the classical limit in the quantum kicked-rotator problem

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