On dynamical zeta function

DOI10.1063/1.165898zbMath1055.37516OpenAlexW1991497859WikidataQ73464166 ScholiaQ73464166MaRDI QIDQ4526212

Eugène Bogomolny

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://semanticscholar.org/paper/fde067fba38c3dae91cbc42aa28fc43f0bdd7b6f

Mathematics Subject Classification ID

Quantum chaos (81Q50) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

Unified theory of bound and scattering molecular Rydberg states as quantum maps ⋮ Quantization of chaotic systems ⋮ Periodic orbit quantization of the anisotropic Kepler problem ⋮ Zeta functions and periodic orbit theory: A review ⋮ Analytic description of statistics of spectra of quantum graphs

Cites Work

• Classical and quantum mechanics of a strongly chaotic billiard system
• A rule for quantizing chaos?
• Recycling of strange sets: I. Cycle expansions
• Quantum eigenvalues from classical periodic orbits
• Quantization of chaos
• Quantization of chaotic systems
• Semiclassical structure of trace formulas

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