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Prog. Theor. Phys. Vol. 108 No. 2 (2002) pp. 323-346

Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. IV

— The su(2)_q- and the su(1,1)_q-Algebras in Four Kinds of Boson Operators —

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 May 8, 2002)

Abstract:

The basic idea presented in Parts (I) – (III) of this series for the deformed boson scheme is applied to the case of the su(2)- and the su(1,1)-algebras for describing many-body systems consisting of four kinds of boson operators. A possible form of the coherent state given by the present authors is generalized and the su(2)_q- and the su(1,1)_q-algebras are obtained in forms expressed in terms of four kinds of boson operators. As an illustrative example demonstrating the application of the deformed boson scheme, the framework for describing thermal effects observed in the two-level shell model with pairing correlation is proposed.

URL : http://ptp.ipap.jp/link?PTP/108/323/
DOI : 10.1143/PTP.108.323

[ Full Text PDF : FREE ACCESS (251K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. A. Kuriyama, C. Providência, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 106 (2001), 751[PTP]; ibid. 106 (2001), 765[PTP]; ibid. 107 (2002), 65[PTP].
2. K. A. Penson and A. I. Solomon, J. Math. Phys. 40 (1999), 2354[CrossRef].
3. J. Schwinger, in Quantum Theory of Angular Momentum, ed. L. Biedenharn and H. Van Dam (Academic Press, New York, 1955), p. 229.
4. A. Kuriyama, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 98 (1997), 893[PTP].
5. A. Kuriyama, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 98 (1997), 381[PTP].
6. A. Kuriyama, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 100 (1998), 993[PTP].
7. A. Kuriyama, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 100 (1998), 1181[PTP].
8. A. Kuriyama, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. Suppl. No. 141 (2001), 113[PTP].
9. A. Kuriyama, C. Providência, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 107 (2002), 443[PTP].
10. A. Kuriyama, C. Providência, J. da Providência, Y. Tsue and M. Yamamura, Prog. Theor. Phys. 107 (2002), 1279[PTP].
11. E. Celeghini, M. Rasetti, M. Tarlini and G. Vitiello, Mod. Phys. Lett. B 3 (1989), 1213.
    E. Celeghini, M. Rasetti and G. Vitiello, Ann. of Phys. 215 (1992), 156[CrossRef].
12. Y. Tsue, A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 91 (1994), 49[PTP]; ibid. 91 (1994), 469[PTP].
13. Y. Tsue, A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 93 (1995), 541[PTP]; ibid. 93 (1995), 1037[PTP].
14. H. Akaike, Y. Tsue, C. Providência, J. da Providência, A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 105 (2001), 717[PTP].
15. A. Kuriyama, J. da Providência and M. Yamamura, Prog. Theor. Phys. 103 (2000), 305[PTP].
16. A. Kuriyama, J. da Providência and M. Yamamura, Prog. Theor. Phys. 103 (2000), 285[PTP].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 108 No. 4 (2002) pp. 783-787 :

   Note on the Deformed Boson Scheme in Four Kinds of Boson Operators

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

2. Progress of Theoretical Physics Vol. 109 No. 1 (2003) pp. 77-86 :

   The su(1,1)-Algebraic Boson Model in the Deformed Boson Scheme

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

3. Progress of Theoretical Physics Vol. 109 No. 5 (2003) pp. 875-879 :

   On the Boson Number Operator in the Deformed Boson Scheme

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

4. Progress of Theoretical Physics Vol. 109 No. 6 (2003) pp. 943-958 :

   A Possible Form of the Orthogonal Set in Six Kinds of Boson Operators

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

5. Progress of Theoretical Physics Vol. 109 No. 6 (2003) pp. 959-968 :

   Note on the Orthogonal Set in Six Kinds of Boson Operators

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

6. Progress of Theoretical Physics Vol. 110 No. 3 (2003) pp. 517-548 :

   Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. I

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

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