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Prog. Theor. Phys. Vol. 106 No. 4 (2001) pp. 751-763

[ Full Text PDF : FREE ACCESS (151K) ]

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

— The Case of Many-Body Systems Consisting of One Kind of Boson Operator —

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 June 15, 2001)

Abstract:

Various aspects of the deformed boson scheme are investigated with the aim of applying it to the time-dependent variational method for many-boson systems. The case of the multiboson states is also discussed. In analogy with the time-dependent Hartree-Fock theory in many-fermion systems, the classical aspect of the deformed boson is discussed.


URL : http://ptp.ipap.jp/link?PTP/106/751/
DOI : 10.1143/PTP.106.751

[ Full Text PDF : FREE ACCESS (151K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 106 No. 4 (2001) pp. 765-781 :
    Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. II
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  2. Progress of Theoretical Physics Vol. 107 No. 1 (2002) pp. 65-86 :
    Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. III
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  3. Progress of Theoretical Physics Vol. 107 No. 2 (2002) pp. 443-448 :
    Note on the Deformed Boson Scheme in Time-Dependent Variational Method
    Atsushi Kuriyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. Progress of Theoretical Physics Vol. 112 No. 5 (2004) pp. 811-829 :
    On the Coherent States Associated with Deformed Bogoliubov (p,q)-Transformations without First Finite Fock States
    M. H. Naderi, R. Roknizadeh and M. Soltanolkotabi

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