Time-Evolution of the Coherent and the Squeezed States of Many-Body Systems Based on the Basic Idea of the Boson Mapping and the TDHF Method

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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65 pages using PTPTeX.sty. To appear in Progress of Theoretical Physics Supplement ``Selected Topics in Boson Mapping and Time

Scientific paper

10.1143/PTPS.141.113

Various works performed by the present authors in the 1990s are reviewed. The topics discussed in this paper are mainly related to the time-evolution of the coherent and the squeezed states of the systems obeying the su(2)- and the su(1,1)-algebra. The formulations are based on the basic idea of the boson mapping and the TDHF theory in canonical form. Under the time-dependent variational procedure for trial states appropriately chosen, the time-evolution of the systems under investigation is described. Further, it is shown that this method enables us to obtain the classical counterparts of the original quantal systems.

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