Spectral statistics of a system with sharply divided phase space

DOI10.1088/0305-4470/35/10/312zbMath1010.81026OpenAlexW1986168365WikidataQ59454118 ScholiaQ59454118MaRDI QIDQ4545236

Jure Malovrh, Tomaž Prosen

Publication date: 15 August 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/35/10/312

zbMATH Keywords

quantizationspectral statisticsBerry-Robnik formulaefamily of non-Kolmogorov-Arnold-Moser (non-KAM) piecewise-linear continuous 2D area-preserving mapsregular elliptic and chaotic hyperbolic motion

Mathematics Subject Classification ID

Quantum chaos (81Q50) Path integrals in quantum mechanics (81S40) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

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AUTOCORRELATION FUNCTIONS AND FORM FACTORS OF STATISTICALLY INDEPENDENT SUPERPOSITION OF SPECTRAL SEQUENCES ⋮ Few Islands Approximation of Hamiltonian System with divided Phase Space ⋮ Quantization of a free particle interacting linearly with a harmonic oscillator ⋮ Chaotic-dynamics of a free particle interacting linearly with a harmonic oscillator

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