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近代物理研究所和兰州重离子加速器实验室年报：英文版

Quantum Effects and Temporal Evolution of Wave Packet

Liu, Fang Fang Fang Fang, Xu, Gongon

Published Jan 1, 1999• 0 citations
OpenAlex

Abstract

Department of Physics,Nanjing UniversityAccording to Bohr’s correspondence principle, the classically defined regular motion and chaotic motionshould manifest themselves in the quantum mechanics, for example, in the temporal evolution of the quantumcoherent states. While as we know in the quantum me

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Using the minimum uncertainty state of quantum integrable system Ho as initial state, the spatiotemporal evolution of the wave packet under the action of perturbed Hamiltonian is studied causally as in classical mechanics. Due to the existence of the avoided energy level crossing in the spectrum there exist nonlinear resonances between some pairs of neighboring components of the wave packet, the deterministic dynamical evolution becomes very complicated and appears to be chaotic. It is proposed to use expectation values for the whole set of basic dynamical variables and the corresponding spreading widths to describe the topological features concisely such that the quantum chaotic motion can be studied in contrast with the quantum regular motion and well characterized with the asymptotic behaviors. It has been demonstrated with numerical results that such a wave packet has indeed quantum behaviors of ergodicity as in corresponding classical case.