Prog. Theor. Phys. Vol. 109 No. 6 (2003) pp. 959-968

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Note on the Orthogonal Set in Six Kinds of Boson Operators

— In Relation to the su(1,1)- and Its Relevant Algebras —

Atsushi Kuriyama,¹ Constança Providência,² João da Providência,² Yasuhiko Tsue³ and Masatoshi Yamamura¹

¹Faculty of Engineering, Kansai University, Suita 564-8680, Japan
²Departamento de Fisica, Universidade de Coimbra, P-3000 Coimbra, Portugal
³Physics Division, Faculty of Science, Kochi University, Kochi 780-8520, Japan

(Received April 12, 2003)

Abstract:

Following the basic idea proposed by the present authors in a recent paper, a possible form of the orthogonal set for many-body systems consisting of six kinds of boson operators is developed. In contrast to the recent paper, in which the su(2)-algebra plays a central role, in this paper, the su(1,1)-algebra is in a central position. The orthogonal set obtained in this paper is expressed in terms of a monomial with respect to the state generating operators.

URL : http://ptp.ipap.jp/link?PTP/109/959/
DOI : 10.1143/PTP.109.959

References:

A. Kuriyama, C. Providência, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 109 (2003), 943[PTP].
A. Kuriyama, J. da Providência and M. Yamamura, Prog. Theor. Phys. 103 (2000), 285[PTP].
A. Kuriyama, C. Providência, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 108 (2002), 323[PTP].
J. Schwinger, in Quantum Theory of Angular Momentum, ed. L. Biedenharn and H. Van Dam (Academic Press, New York, 1955), p. 229.

Citing Article(s) :

Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 153-168 :
On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins

Seiya Nishiyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura