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Prog. Theor. Phys. Vol. 88 No. 5 (1992) pp. 911-932

[ Full Text PDF : FREE ACCESS (1873K) ]

Maslov Phase as Geometric Phase in the Time-Dependent Variational Approach with Squeezed Coherent States

Yasuhiko Tsue

Department of Physics, Kyoto University, Kyoto 606-01

(Received July 6, 1992)

Abstract:

Toward the classical description of quantum fluctuations in quantal systems, the Maslov phase occurring in a semi-classical quantization rule is investigated in a framework of the time-dependent variational principle with squeezed coherent states. In the limit of a semi-classical approximation in this approach, it is definitely shown that the Maslov phase has a geometric nature analogous to Berry's phases or canonical phases including dynamical effects. The Maslov phase appears as a winding number in this framework. It is also indicated that this squeezed coherent state approach is a possible way to go beyond the usual WKB approximation.


URL : http://ptp.ipap.jp/link?PTP/88/911/
DOI : 10.1143/PTP.88.911

[ Full Text PDF : FREE ACCESS (1873K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Supplement No.141 (2001) pp. 113-178 :
    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

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