The role of singularities in chaotic spectroscopy
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Publication:1963198
DOI10.1016/S0960-0779(97)00006-4zbMath1024.81506arXivchao-dyn/9612019MaRDI QIDQ1963198
Publication date: 24 January 2000
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/chao-dyn/9612019
singularitiesLyapunov exponentsSinai billiardsemiclassical trace formulaAxiom-A scattering systemsbound chaotic systemsGutzwiller-Voros zeta function
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Cites Work
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- Zeta functions and transfer operators for piecewise monotone transformations
- Dynamical averaging in terms of periodic orbits
- Periodic orbit asymptotics for intermittent Hamiltonian systems
- Chaos in classical and quantum mechanics
- Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon
- Transport properties of the Lorentz gas in terms of periodic orbits
- Application of the diffraction trace formula to the three-disk scattering system.
- Lyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functions
- On the decay of correlations in Sinai billiards with infinite horizon
- A rule for quantizing chaos?
- Unstable periodic orbits and semiclassical quantisation
- Resonances for intermittent systems
- The semiclassical resonance spectrum of hydrogen in a constant magnetic field
- The Lyapunov exponent in the Sinai billiard in the small scatterer limit
- The correlation spectrum for hyperbolic analytic maps
- How chaotic is the stadium billiard? A semiclassical analysis
- Determination of resonance spectra for bound chaotic systems
- Approximate zeta functions for the Sinai billiard and related systems
- On the effect of pruning on the singularity structure of zeta functions
- Quantization of chaos
- Periodic Orbit Quantization beyond the Semiclassical Theory
- Investigation of the Lorentz gas in terms of periodic orbits
- Semiclassical accuracy for billiards
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