Statistical properties of actions of periodic orbits
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Publication:4515128
DOI10.1063/1.166485zbMath1072.81527OpenAlexW2037861162WikidataQ73462866 ScholiaQ73462866MaRDI QIDQ4515128
Publication date: 12 November 2000
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2433/59080
Quantum chaos (81Q50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
Cites Work
- Classical structures in the quantized Baker transformation
- An analogue of the prime number theorem for closed orbits of Axiom A flows
- Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
- The quantization of a classically ergodic system
- Periodic orbits of the sawtooth maps
- The quantized Baker's transformation
- Ergodic properties of the discontinuous sawtooth map
- Towards a semiclassical theory of the quantum Baker's map
- Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus
- Periodic orbit theory for the quantized Baker's map
- On the quantum baker's map and its unusual traces
- Toward the Classical Understanding of Quantum Chaological Phenomena
- On the duality between periodic orbit statistics and quantum level statistics
- On the Partition Function of a One-Dimensional Gas
- The cat maps: quantum mechanics and classical motion
- Periodic orbits and semiclassical quantization of dispersing billiards
- Semiclassical theory of spectral rigidity
- Semiclassical quantization of sawtooth map with inclusion of next leading order and its failure
- Correlations in the actions of periodic orbits derived from quantum chaos
- Spectral Statistics: From Disordered to Chaotic Systems
- ON THE CYCLICAL DISTRIBUTION OF THE LOGARITHMS OF THE PRIME NUMBERS
- Long-time divergence of semiclassical form-factors
- Periodic orbit action correlations in the Baker map
- Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation
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