Concept of a Collective Subspace Associated with the Invariance Principle of the Schrodinger Equation:A Microscopic Theory of the Large Amplitude Collective Motion of Soft Nuclei
Concept of a Collective Subspace Associated with the Invariance Principle of the Schrodinger Equation:A Microscopic Theory of the Large Amplitude Collective Motion of Soft Nuclei
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DOI：
10.1143/ptp.63.1576
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发表时间：
1980-05
影响因子：
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通讯作者：
T. Marumori;A. Hayashi;T. Tomoda;A. Kuriyama;T. Maskawa
中科院分区：
文献类型：
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作者：
T. Marumori;A. Hayashi;T. Tomoda;A. Kuriyama;T. Maskawa
这一系列论文的目的是提出一种微观理论，以超越由随机相位近似描述的集体运动，即由关于平衡的小振幅谐波振荡描述的情况。因此，该理论适合于软核的大振幅集体运动的微观描述。其基本思想是在薛定谔方程的不变性原理的基础上，发展一种以最优方式确定多粒子希尔伯特空间中的集体子空间（或子流形）的方法。利用Hartree-Fock理论框架中的with -原理，表明该理论可以通过自一致地推导出“物理声子”数量守恒的集体哈米尔-顿量来澄清所谓“声子带”的结构。本文的目的不是进行详细的定量讨论，而是发展基本思想。
The aim of this series of papers is to propose a microscopic theory to go beyond the situations where collective motions are described by the random phase approximation, i.e., by small amplitude harmonic oscillations about equilibrium. The theory is thus ap propriate for the microscopic description of the large amplitude collective motion of soft nuclei. The essential idea is to develop a method to determine the collective subspace (or submanifold) in the many-particle Hilbert space in an optimal way, on the basis of a fundamental princi ple called the invariance principle of the Schrodinger equation. By using the principle with in the framework of the Hartree-Fock theory, it is shown that the theory can clarify the structure of the so-called "phonon-bands" by self-consistently deriving the collective Hamil tonian where the number of the "physical phonon" is conserved. The purpose of this paper is not to go into detailed quantitative discussion, but rather to develop the basic idea.