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Prog. Theor. Phys. Vol. 99 No. 5 (1998) pp. 819-829

Modification of the Conventional Holstein-Primakoff Boson Representation for the su(1,1)-Algebra and Its Classical Counterpart

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 Physics, Kochi University, Kochi 780-8520, Japan

(Received February 2, 1998)

Abstract:

In order to avoid unsatisfactory points of the conventional Holstein-Primakoff representation of the su(1,1)-algebra for the description of thermal effects in many-boson or oscillating systems, the conventional form is modified. The basic idea can be found in a possible canonical transformation from the conventional to the new form. Four forms are given, and with the aid of these modified forms, it is expected to describe, for example, fluctuations around a bose-condensed state.

URL : http://ptp.ipap.jp/link?PTP/99/819/
DOI : 10.1143/PTP.99.819

[ Full Text PDF : FREE ACCESS (399K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 100 No. 6 (1998) pp. 1181-1202 :

   A Boson System Interacting with an External Harmonic Oscillator

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

2. 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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