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Prog. Theor. Phys. Supplement No.141 (2001) pp. 113-178

[ Full Text PDF : FREE ACCESS (487K) ]

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

Atsushi Kuriyama, João da Providência,* Yasuhiko Tsue** and Masatoshi Yamamura

Faculty of Engineering, Kansai University, Suita 564-8680, Japan
*Departamento de Fisica, Universidade de Coimbra, P 3000 Coimbra, Portugal
**Department of Material Science, Kochi University, Kochi 780-8520, Japan

(Received July 31, 2000)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTPS/141/113/
DOI : 10.1143/PTPS.141.113

[ Full Text PDF : FREE ACCESS (487K) ] Citation:

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