Coherent state theory of large amplitude collective motion
Coherent state theory of large amplitude collective motion
复制标题
大振幅集体运动的相干态理论
DOI：
10.1139/p76-234
复制
发表时间：
1976
影响因子：
1.2
通讯作者：
R. Bassermann
中科院分区：
文献类型：
--
作者：
D. Rowe;R. Bassermann
本文提出了一个与核裂变有关的多粒子系统的大振幅集体运动理论。该理论是物理学和数学许多领域中使用的技术的组合。出发点是应用含时薛定谔方程生成Hartree-Fock近似下的哈密顿量的不变子空间。这是一个推广的群论装置产生轨道的一组在建设约化表示。它示出了如何解决方案的时间依赖薛定谔方程可以表示为一个受约束的静态哈密顿瞬时定态。因此，接触与传统的曲柄模型和约束Hartree-Fock理论的大振幅集体运动。在广义相干态的基础上，利用Hill-Wheeler-Griffin生成坐标方法对集体运动进行量子化。因此，人们能够利用大部分的理论的哈…
A theory of large amplitude collective motion of a many-particle system is presented, which is relevant, for example, to nuclear fission. The theory is a combination of techniques used in many areas of physics and mathematics. The starting point is the application of the time-dependent Schrodinger equation to generate invariant subspaces of the Hamiltonian in the Hartree–Fock approximation. This is a generalization of the group-theoretical device of generating orbits of a group in the construction of reduced representations. It is shown how solutions of the time-dependent Schrodinger equation can be expressed as instantaneous stationary states of a constrained static Hamiltonian. Thus contact is made with the traditional cranking models and constrained Hartree–Fock theories of large amplitude collective motion. The collective motion is quantized using the Hill–Wheeler–Griffin method of generator coordinates in a basis of generalized coherent states. One is thereby able to exploit much of the theory of har...