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PTP Online Top > Volume 70 (1983) > Number 6
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Prog. Theor. Phys. Vol. 70 No. 6 (1983) pp. 1675-1678

[ Full Text PDF : FREE ACCESS (218K) ]

Letters

Canonicity Condition and Its Favourite Form of Collective Hamiltonian

Atsushi Kuriyama and Masatoshi Yamamura

Faculty of Engineering, Kansai University, Suita 564

(Received June 13, 1983)

Abstract:

The role of canonicity condition in fixing a proper canonical coordinate system of collective submanifold is investigated. We take up two typical forms of canonicity condition, which favour two typical forms of collective Hamiltonian, respectively. We show a beautiful harmony and mutual aid between the canonicity and the so-called RPA boundary condition.


URL : http://ptp.ipap.jp/link?PTP/70/1675/
DOI : 10.1143/PTP.70.1675

[ Full Text PDF : FREE ACCESS (218K) ] Citation:

References:

  1. A. Kuriyama, Prog. Theor. Phys. Suppl. Nos. 74 & 75 (1982), 66[PTP].
    See references in this for further references.
  2. T. Marumori, T. Maskawa, F. Sakata and A. Kuriyama, Prog. Theor. Phys. 64 (1980), 1294[PTP].
  3. A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 66 (1981), 2130[PTP].
    M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 66 (1981), 2147[PTP].
  4. M. Yamamura, Prog. Theor. Phys. Suppl. Nos. 74 & 75 (1982), 271[PTP].
  5. A. K. Mukherjee and M. K. Pal, Phys. Lett. B 100 (1981), 457[CrossRef].
  6. M. Yamamura, A. Kuriyama and S. Iida, Prog. Theor. Phys. 71 (1984), 109[PTP].
  7. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 65 (1981), 550[PTP]; ibid. 65 (1981), 755[PTP].
    A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 65 (1981), 759[PTP]; ibid. 65 (1981), 1094[PTP].
  8. A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 69 (1983), 681[PTP].
  9. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 67 (1982), 852[PTP].
    A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 67 (1982), 1122[PTP].
    M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 67 (1982), 1135[PTP].

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. 1 (1984) pp. 122-130 :
    Canonical Formulation of Time-Dpendent Hartree-Fock Method
    Atsushi Kuriyama and Masatoshi Yamamura
  3. Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 752-774 :
    Generalization of Equation of Collective Submanifold
    Masatoshi Yamamura and Atsushi Kuriyama
  4. 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
  5. 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
  6. 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
  7. Progress of Theoretical Physics Vol. 74 No. 1 (1985) pp. 51-65 :
    Intrinsic Excitation Modes Compatible with Large-Amplitude Collective Motion in the TDHF Theory
    Fumihiko Sakata, Toshio Marumori, Kazuhiro Muramatsu and Yukio Hashimoto
  8. Progress of Theoretical Physics Vol. 74 No. 2 (1985) pp. 288-300 :
    Applicability of the Canonical Quantization Procedure for the Collective Hamiltonian Derived by the Selfconsistent-Collective-Coordinate Method
    Masayuki Matsuo and Kenichi Matsuyanagi
  9. 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
  10. Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 583-591 :
    Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. II
    Masatoshi Yamamura and Atsushi Kuriyama
  11. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 372-386 :
    Treatment of Nucleon-Number Conservation in the Selfconsistent Collective-Coordinate Method
    Masayuki Matsuo
  12. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 387-399 :
    Concept of Dynamical Collective Submanifold for Large-Amplitude Collective Motion in the TDHF Theory
    Fumihiko Sakata, Toshio Marumori, Yukio Hashimoto, Kazuhiro Muramatsu and Masanori Ogura
  13. 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
  14. Progress of Theoretical Physics Vol. 76 No. 5 (1986) pp. 1060-1070 :
    An Extension of Time-Dependent Hartree-Fock Theory Including Grassmann Variables. II
    Masatoshi Yamamura and Atsushi Kuriyama
  15. Progress of Theoretical Physics Vol. 77 No. 1 (1987) pp. 94-105 :
    Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. III
    Masatoshi Yamamura and Atsushi Kuriyama
  16. Progress of Theoretical Physics Vol. 78 No. 6 (1987) pp. 1364-1391 :
    Optimum Collective Submanifold in Resonant Cases by the Self-Consistent Collective-Coordinate Method for Large-Amplitude Collective Motion
    Yukio Hashimoto, Toshio Marumori and Fumihiko Sakata
  17. Progress of Theoretical Physics Vol. 79 No. 6 (1988) pp. 1273-1278 :
    Quantization of the Adiabatic TDHF Theory of Large Amplitude Collective Motion
    Joāo da Providência and Tsutomu Une
  18. Progress of Theoretical Physics Vol. 85 No. 4 (1991) pp. 805-828 :
    Single-Particle Motion in Large-Amplitude Quadrupole Shape Transition
    Kazuya Yamada
  19. Progress of Theoretical Physics Vol. 103 No. 5 (2000) pp. 959-979 :
    Adiabatic Selfconsistent Collective Coordinate Method for Large Amplitude Collective Motion in Nuclei with Pairing Correlations
    Masayuki Matsuo, Takashi Nakatsukasa and Kenichi Matsuyanagi
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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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