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Prog. Theor. Phys. Vol. 71 No. 1 (1984) pp. 122-130

[ Full Text PDF : FREE ACCESS (481K) ]

Canonical Formulation of Time-Dpendent Hartree-Fock Method

Atsushi Kuriyama and Masatoshi Yamamura

Faculty of Engineering, Kansai University, Suita 564

(Received August 9, 1983)

Abstract:

On the basis of a canonical formulation of full time-dependent Hartree-Fock method, we develop a formulation of time-dependent Hartree-Fock method for the description of collective motion in a completely canonical form. In the derivation of basic equations, the general form of canonicity condition plays an important role.


URL : http://ptp.ipap.jp/link?PTP/71/122/
DOI : 10.1143/PTP.71.122

[ Full Text PDF : FREE ACCESS (481K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 71 No. 1 (1984) pp. 109-121 :
    Unique Specification of Collective Submanifold
    Masatoshi Yamamura, Atsushi Kuriyama and Shinji Iida
  2. Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 752-774 :
    Generalization of Equation of Collective Submanifold
    Masatoshi Yamamura and Atsushi Kuriyama
  3. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 973-984 :
    Canonical Coordinate System Suitable for Adiabatic Treatment of Collective Motion
    Atsushi Kuriyama and Masatoshi Yamamura
  4. Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 513-533 :
    Generalized Center of Mass and Relative Motions in Classical Many-Body System
    Masatoshi Yamamura, Atsushi Kuriyama and Shinji Iida
  5. Progress of Theoretical Physics Vol. 72 No. 6 (1984) pp. 1273-1276 :
    Specification of Collective Submanifold by Adiabatic Time-Dependent Hartree-Fock Method
    Atsushi Kuriyama, Masatoshi Yamamura and Shinji Iida
  6. Progress of Theoretical Physics Vol. 73 No. 2 (1985) pp. 386-396 :
    Applicability of the Concept of “Optimal” Collective Submanifold Determined by the Self-Consistent Collective-Coordinate Method
    Yukio Hashimoto, Fumihiko Sakata and Toshio Marumori
  7. Progress of Theoretical Physics Vol. 74 No. 4 (1985) pp. 693-707 :
    A Note on Collective Variables Determined by Equations of Collective Submanifold
    Masatoshi Yamamura and Atsushi Kuriyama
  8. Progress of Theoretical Physics Vol. 75 No. 2 (1986) pp. 272-287 :
    Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. I
    Masatoshi Yamamura and Atsushi Kuriyama
  9. Progress of Theoretical Physics Vol. 76 No. 1 (1986) pp. 115-126 :
    An \hbar-Expansion of a Unitary Transformation and Quantum Corrections to a Canonical Transformation
    Shinji Iida
  10. Progress of Theoretical Physics Vol. 76 No. 5 (1986) pp. 1047-1059 :
    An Extension of Time-Dependent Hatree-Fock Theory Including Grassmann Variables. I
    Masatoshi Yamamura and Atsushi Kuriyama
  11. Progress of Theoretical Physics Vol. 77 No. 5 (1987) pp. 1192-1208 :
    Non-Unitary Realization of the Selfconsistent Collective-Coordinate Method
    Yoshifumi R. Shimizu and Kenjiro Takada
  12. Progress of Theoretical Physics Vol. 110 No. 1 (2003) pp. 65-91 :
    Application of the Adiabatic Self-Consistent Collective Coordinate Method to a Solvable Model of Prolate-Oblate Shape Coexistence
    Masato Kobayasi, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  13. Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 129-152 :
    Collective Paths Connecting the Oblate and Prolate Shapes in 68Se and 72Kr Suggested by the Adiabatic Self-Consistent Collective Coordinate Method
    Masato Kobayasi, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  14. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 129-141 :
    On Parametric Resonance in Quantum Many-Body System
    Yasuhiko Tsue, João da Providência, Atsushi Kuriyama and Masatoshi Yamamura
  15. Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 567-599 :
    Effects of Time-Odd Components in Mean Field on Large Amplitude Collective Dynamics
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  16. Progress of Theoretical Physics Vol. 117 No. 3 (2007) pp. 451-478 :
    Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  17. Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 59-101 :
    Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  18. Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
    Time-Dependent Hartree-Fock Method and Its Extension
    Masatoshi Yamamura and Atsushi Kuriyama

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