Accuracy of semiclassical dynamics in the presence of chaos

DOI10.1007/BF01048839zbMath0925.58064MaRDI QIDQ1379400

Eric J. Heller, Steven Tomsovic, Patrick W. O'Connor

Publication date: 25 February 1998

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

chaosquantum mapssemiclassical dynamics

Mathematics Subject Classification ID

Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

Towards a semiclassical theory of the quantum Baker's map ⋮ Quantum variance and ergodicity for the baker's map ⋮ The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation

Cites Work

• Classical structures in the quantized Baker transformation
• The quantization of a classically ergodic system
• The unusual nature of the quantum Baker's transformation
• Chaos in classical and quantum mechanics
• A rule for quantizing chaos?
• Unstable periodic orbits and semiclassical quantisation
• Generic Properties of Eigenfunctions
• Regular and irregular semiclassical wavefunctions
• Evolution of semiclassical quantum states in phase space
• Semiclassical dynamics of chaotic motion: Unexpected long-time accuracy
• Anatomy of the trace formula for the baker’s map

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