Classical chaos and quantum level density of an anharmonic oscillator

DOI10.1007/BF00673291zbMath0675.70016MaRDI QIDQ1122369

Rongyu Zhou, Jian-Ling Li

Publication date: 1989

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Liapunov exponentsclassical limitnumerical calculationsquantum systemsirregular fraction of phase spacePoisson-like distributiontwo-dimensional anharmonic oscillator systemsWigner-like distribution

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) General mathematical topics and methods in quantum theory (81Q99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

• Stochastic behavior in classical and quantum Hamiltonian systems. Volta memorial conference, Como, 1977
• Regular and stochastic motion
• Semiclassical level spacings when regular and chaotic orbits coexist
• Level clustering in the regular spectrum

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