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• W2020165507 abstract "Based on a quantum dynamical invariant of motion, I, we study the classical limit of a semiclassical Hamiltonian composed by a full quantum harmonic oscillator plus a classical particle plus a semiclassical coupling quartic term. The motion-invariant is closely related to the uncertainty principle. The classical limit (CL) is determined by the relationship between I and the total energy of the system, defining an adimensional invariant E r . We find that the CL coincides with the results of a purely classical treatment. Both invariants allow to follow the transit between quantum nonchaotic to the classical chaotic regime. Particularly, with E r we define the threshold above which chaos appears, and the interval during which both regimes co-exist." @default.
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• W2020165507 date "2003-08-01" @default.
• W2020165507 modified "2023-10-18" @default.
• W2020165507 title "Classical Limit and Chaotic Regime in a Semi-Quantum Hamiltonian" @default.
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• W2020165507 doi "https://doi.org/10.1142/s0218127403007977" @default.
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