Self-Consistent Collective-Coordinate Method for ''Maximally-Decoupled'' Collective Subspace and Its Boson Mapping

摘要

The main purpose of this series of lectures is to develop a full quantum theory, which is capable by itself of determining a ''maximally-decoupled'' collective motion. The lecture is divided into two parts. In the first part, the motivation and basic idea of the theory are explained, and the ''maximal-decoupling condition'' on the collective motion is formulated within the framework of the time-dependent Hartree-Fock theory, in a general form called the invariance principle of the (time-dependent) Schroedinger equation. In the second part, it is shown that when we positively utilize the invariance principle, we can construct a full quantum theory of the ''maximally-decoupled'' collective motion. This quantum theory is shown to be a generalization of the kinematical boson-mapping theories so far developed, in such a way that the dynamical ''maximal-decoupling condition'' on the collective motion is automatically satisfied. 21 refs., 5 figs. (ERA citation 11:024998)