混沌原子核系统的相干态描述

Description of Chaotic Nuclear System with Coherent States

摘要: 当前，人们对量子混沌系统的能谱统计性质的了解比对其波函数性质的了解多得多．通过研究哈密顿系统初始状态为相干量子状态时的传播性质、位置与动量的平均值随时间的演化及涨落的变化性质，将给出系统波函数及相空间分布的信息，并自然给出量子、经典的对应．从理论形式上给出了哈密顿系统状态的相干态表示． So far the statistical fluctuation property of the energy spectrum and its rigidity for quantum chaotic systems are known much more than the wave functions. The study of the propagating property of a quantum state of a Hamiltonian system with its initial state being a coherent state, the time evolution of the mean position and mean momentum, as well as the variation of the position and momentum fluctuation of the system will offer information about the wave function and the phase...

Abstract: So far the statistical fluctuation property of the energy spectrum and its rigidity for quantum chaotic systems are known much more than the wave functions. The study of the propagating property of a quantum state of a Hamiltonian system with its initial state being a coherent state, the time evolution of the mean position and mean momentum, as well as the variation of the position and momentum fluctuation of the system will offer information about the wave function and the phase...