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 | Zendy

A. Kuriyama | Zendy; João da Providência | Zendy; Y. Tsue | Zendy; Masatoshi Yamamura | Zendy

Open Access

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

Author(s) -

A. Kuriyama,

João da Providência,

Y. Tsue,

Masatoshi Yamamura

Publication year - 2001

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.141.113

Subject(s) - boson , coherent states , time evolution , theoretical physics , physics , algebra over a field , quantum mechanics , mathematics , pure mathematics , quantum

Various works performed by the present authors in the 1990s are reviewed. Thetopics discussed in this paper are mainly related to the time-evolution of thecoherent and the squeezed states of the systems obeying the su(2)- and thesu(1,1)-algebra. The formulations are based on the basic idea of the bosonmapping and the TDHF theory in canonical form. Under the time-dependentvariational procedure for trial states appropriately chosen, the time-evolutionof the systems under investigation is described. Further, it is shown that thismethod enables us to obtain the classical counterparts of the original quantalsystems.Comment: 65 pages using PTPTeX.sty. To appear in Progress of Theoretical Physics Supplement ``Selected Topics in Boson Mapping and Time-Dependent Hartree-Fock Methods.

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