Titlebook: Crossover-Time in Quantum Boson and Spin Systems; Gennady P. Berman,Evgeny N. Bulgakov,Darryl D. Hol Book 1994 Springer-Verlag Berlin Heid

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The Characteristic Times of Violation of Quasiclassical Approximation for Integrable Boson and Spinolutions for different boson and spin systems. As a first step we consider in this section the application of the considered above c-number equations for quantum integrable boson and spin systems in quasiclassical region of parameters. We derive one of the main characteristic dynamical parameter, na

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The Time of Applicability of the Quasiclassical Approach in a Boson System of Two Interacting QuantNR) and “interaction (overlapping) of NRs” [57]. Namely, the transition to chaos takes place under conditions of strong interaction of NRs in classical Hamiltonian systems [57]. These concepts also appear to be useful in the investigation of quantum chaos in Hamiltonian systems [63–66,9,15,53]. In t

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Quantization of a Stochastic Web,ulses. We write the Hamiltonian as . The difference in system (9.1) from the systems considered above is that the unperturbed system (9.1) (. = 0) is linear. At resonance . (r,q are integers) the effect of perturbation is especially strong. Recent investigations of system (9.1) in the classical limi

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Characteristic Times for Chaotic Dynamics in Wigner Representation,ical region quantum effects can play an essential role. One of the main phenomena is the existence of the classical-quantum time-scale . ∼ ln ., (. ∼ 1/.) for classically chaotic systems. Another important quantum effect in the region of parameters of quantum chaos is the suppression of quantum diff

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Quantum Chaos of Atoms in a Resonant Cavity Driven by an External Resonant Field,onian (11.2). Actually, in an experimental realization in the optical and even in the microwave frequency regions the condition Λ > 1 is difficult to achieve. That is why, below, in this section we consider, following [22], a modification of the quantum system with the Hamiltonian (11.2), where stro

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