【摘要】 基于表述经典及量子系统可积性的动力对称性群 ,对量子可积系统规则运动的经典对应问题运用归纳法进行了研究 .具体给出了经典近似描述的适用条件 ,并进行了简明讨论 .更多还原

【Abstract】 Based on the dynamical symmetry group characterizing the integrability of classical as well as quantum mechanics, quantum dynamics with proper initial conditions was genuinely formulated, and analytical solutions in the form of soliton-like state evolving around a certain invariant torus were obtained. It has been shown that, in case the intrinsic size of the evolving quantum state is significantly smaller than the extent of its evolving orbit, the motion can be satisfactorily treated with classical approximation. Having demonstrated the quantum-classical correspondence of regular motion, the possibility to study quantum chaos on the basis dynamical symmetry breaking was briefly discussed.更多还原