Entire Fredholm determinants for evaluation of semiclassical and thermodynamical spectra

DOI10.1103/PhysRevLett.71.4138zbMath0972.37504arXivchao-dyn/9307012OpenAlexW2075590651WikidataQ74542362 ScholiaQ74542362MaRDI QIDQ4492108

Gábor Vattay, Predrag Cvitanović

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9307012

Mathematics Subject Classification ID

Quantum chaos (81Q50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) 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 (8)

From Ruelle's transfer operator to the Schrödinger operator ⋮ Classical and semiclassical zeta functions in terms of transition probabilities ⋮ Lyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functions ⋮ Synchronizability of networks with strongly delayed links: a universal classification ⋮ Dynamical averaging in terms of periodic orbits ⋮ Periodic orbit asymptotics for intermittent Hamiltonian systems ⋮ Global trace formula for ultra-differentiable Anosov flows ⋮ The semiclassical zeta function for geodesic flows on negatively curved manifolds

Cites Work

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• Chaos in classical and quantum mechanics
• Recycling of strange sets: I. Cycle expansions
• Fractal measures and their singularities: The characterization of strange sets
• Unstable periodic orbits and semiclassical quantisation
• The correlation spectrum for hyperbolic analytic maps

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