Prog. Theor. Phys. Vol. 109 No. 6 (2003) pp. 959-968
Note on the Orthogonal Set in Six Kinds of Boson Operators
— In Relation to the su(1,1)- and Its Relevant Algebras
1Faculty of Engineering, Kansai University, Suita 564-8680, Japan
2Departamento de Fisica, Universidade de Coimbra, P-3000 Coimbra,
3Physics Division, Faculty of Science, Kochi University, Kochi 780-8520,
(Received April 12, 2003)
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.
DOI : 10.1143/PTP.109.959
- 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