Quantization of chaotic systems

DOI10.1063/1.165897zbMath1055.81562OpenAlexW1970721275WikidataQ52421989 ScholiaQ52421989MaRDI QIDQ4526216

Gregor Tanner, Dieter Wintgen

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/10.1063/1.165897

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) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (4)

On dynamical zeta function ⋮ Periodic orbit quantization of the anisotropic Kepler problem ⋮ Zeta functions and periodic orbit theory: A review ⋮ Classical and semiclassical zeta functions in terms of transition probabilities

Cites Work

• Distribution of eigenfrequencies for the wave equation in a finite domain. I.: Three-dimensional problem with smooth boundary surface
• A rule for quantizing chaos?
• The spectrum of the period-doubling operator in terms of cycles
• Recycling of strange sets: I. Cycle expansions
• Unstable periodic orbits and semiclassical quantisation
• Periodic orbit resummation and the quantization of chaos
• Indices in classical mechanics
• Periodic orbit quantization of bound chaotic systems
• Determination of correlation spectra in chaotic systems
• Quantum eigenvalues from classical periodic orbits
• Quantization of chaos
• Semiclassical dynamics of chaotic motion: Unexpected long-time accuracy
• On dynamical zeta function

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