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Prog. Theor. Phys. Vol. 107 No. 2 (2002) pp. 443-448

[ Full Text PDF : FREE ACCESS (92K) ]

Letters

Note on the Deformed Boson Scheme in Time-Dependent Variational Method

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 November 5, 2001)

Abstract:

The Holstein-Primakoff representation for the su(2)-algebra is derived in the deformed boson scheme. The following two points are discussed: (i) the connection between a simple Hamiltonian and the Hamiltonian obeying the su(2)-algebra, such as the Hamiltonian of the Lipkin model and (ii) derivation of the Hamiltonian for describing the damped and amplified motion for the su(2)-boson model.


URL : http://ptp.ipap.jp/link?PTP/107/443/
DOI : 10.1143/PTP.107.443

[ Full Text PDF : FREE ACCESS (92K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 107 No. 6 (2002) pp. 1273-1278 :
    On the Multiboson Coherent State in Deformed Boson Scheme
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  2. Progress of Theoretical Physics Vol. 107 No. 6 (2002) pp. 1279-1284 :
    Two Contrastive Boson-Pair Coherent States in Deformed Boson Scheme
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  3. Progress of Theoretical Physics Vol. 108 No. 2 (2002) pp. 323-346 :
    Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. IV
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  4. 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
  5. 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
  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
  7. Progress of Theoretical Physics Vol. 110 No. 6 (2003) pp. 1071-1085 :
    Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. II
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  8. Progress of Theoretical Physics Vol. 111 No. 4 (2004) pp. 509-523 :
    Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. III
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura

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