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Prog. Theor. Phys. Vol. 56 No. 1 (1976) pp. 124-134

[ Full Text PDF : FREE ACCESS (834K) ]

An a priori Quantized Time-Dependent Hartree-Bogoliubov Theory

— A Generalization of the Schwinger Representation of Quasi-Spin to the Fermion-Pair Algebra —

Masatoshi Yamamura and Seiya Nishiyama

Depaerment of Physics, Kyoto University, Kyoto 606

(Received January 10, 1976)

Abstract:

An a priori quantized time-dependent Hartree-Bogoliubov theory is proposed for the purpose of approaching the description of nuclear collective motion with large amplitudes. The basic idea lies in the generalization of the Schwinger representation of quasi-spin to the fermion-pair algebra, Under the c-number replacement of bosons, equations obtained in the theory are reduced to those of the time-dependent Hartree-Bogoliubov theory.


URL : http://ptp.ipap.jp/link?PTP/56/124/
DOI : 10.1143/PTP.56.124

[ Full Text PDF : FREE ACCESS (834K) ] Citation:

References:

  1. F. Villars, in Dynamic Structure of Nuclear States, ed. D. J. Rowe et al. (University of Toronto Press, Toronto, 1972), p. 1.
  2. S. T. Belyaev and V. G. Zelevinsky, Nucl. Phys. 39 (1962), 582[CrossRef].
  3. E. R. Marshalek and G. Holzwarth, Nucl. Phys. A 191 (1972), 438[CrossRef].
  4. T. Marumori, M. Yamamura and A. Tokunaga, Prog. Theor. Phys. 31 (1964), 1009[PTP].
  5. A. Tokunaga, Prog. Theor. Phys. 37 (1967), 315[PTP].
    M. Yamamura, A. Tokunaga and T. Marumori, Prog. Theor. Phys. 37 (1967), 336[PTP].
  6. J. Schwinger, in Quantum Theory of Angular Momentum, ed. L. Biedenharn and H. van Dam (Academic Press, New York, 1965), p. 229.
  7. T. Holstein and H. Primakoff, Phys. Rev. 58 (1940), 1098[APS].
  8. M. Ichimura, Prog. Nucl. Phys. 10 (1969), 307.
  9. M. Yamamura, Prog. Theor. Phys. 52 (1974), 538[PTP].
  10. S. Nishiyama, Prog. Theor. Phys. 55 (1976), 1146[PTP].
  11. N. N. Bogoliubov, Uspekhi Fiz. Nauk. SSSR 67 (1959), 549; Sov. Phys. -Uspekhi 67 (1959), 236.
  12. M. Baranger, Phys. Rev. 122 (1961), 992[APS].
  13. D. H. E. Gross and M. Yamamura, Nucl. Phys. A 140 (1970), 625[CrossRef].
    M. Yamamura, Prog. Theor. Phys. 46 (1971), 148[PTP].
    S. Nishiyama and M. Yamamura, Prog. Theor. Phys. 47 (1972), 134[PTP]; ibid. 50 (1973), 137[PTP].
    M. Matsuzaki, M. Iwasaki and M. Yamamura, Prog. Theor. Phys. 48 (1972), 2252[PTP].
    A. Hayashi and M. Yamamura, Prog. Theor. Phys. 53 (1973), 1392[PTP].
  14. S. Nishiyama, Prog. Theor. Phys. 55 (1976), 1304[PTP].
  15. S. T. Belyaev and V. G. Zelevinsky, Yadern. Fis. 16 (1972), 1195; ibid. 17 (1973), 525; Sov. J. Nucl. Phys. 16 (1973), 657; ibid. 17 (1973), 269.
  16. D. J. Rowe, Phys. Rev. 175 (1968), 1283[APS].
    G. Schalow and M. Yamamura, Nucl. Phys. A 161 (1971), 93[CrossRef].
    M. Iwasaki and M. Yamamura, Prog. Theor. Phys. 46 (1971), 1440[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 57 No. 1 (1977) pp. 96-111 :
    Derivation of Random Phase Approximation on the Basis of the Generalized Schwinger Representation of the Fermion-Pairs
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  2. Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1554-1571 :
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  3. Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1797-1799 :
    A Note on Pairing Vibration in the Closed Shell Nuclei
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  4. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 325-326 :
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    Masatoshi Yamamura and Yutaka Mizobuchi
  5. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1551-1561 :
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  6. Progress of Theoretical Physics Vol. 60 No. 1 (1978) pp. 197-208 :
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  7. Progress of Theoretical Physics Vol. 63 No. 2 (1980) pp. 486-497 :
    A Possible Quantization of Time-Dependent Hartree-Bogoliubov Theory Based on the SO(2N+1) Algebra
    Masatoshi Yamamura
  8. Progress of Theoretical Physics Vol. 64 No. 6 (1980) pp. 2076-2090 :
    Collective Subspace and Canonical System with Constraints
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  9. Progress of Theoretical Physics Vol. 65 No. 2 (1981) pp. 550-564 :
    A Microscopic Theory of Collective and Independent-Particle Motions
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  10. Progress of Theoretical Physics Vol. 65 No. 6 (1981) pp. 2042-2045 :
    Note on the Canonical Quantization of the Time-Dependent Hartree-Fock Equation
    Masaharu Iwasaki
  11. Progress of Theoretical Physics Vol. 66 No. 1 (1981) pp. 348-350 :
    Path Integral on the Coset Space of the SO(2N) Group and the Time-Dependent Hartree-Bogoliubov Equation
    Seiya Nishiyama
  12. Progress of Theoretical Physics Vol. 68 No. 2 (1982) pp. 680-683 :
    Note on the New Type of the SO(2N+1) Time-Dependent Hartree-Bogoliubov Equation
    Seiya Nishiyama
  13. Progress of Theoretical Physics Vol. 69 No. 1 (1983) pp. 100-112 :
    A Jacobi Equation on the Coset Manifold SO(2N)/U(N) and the Quasi-Particle RPA Equation
    Seiya Nishiyama
  14. Progress of Theoretical Physics Vol. 69 No. 6 (1983) pp. 1811-1814 :
    An Equation for the Quasi-Particle RPA Based on the SO(2N + 1) Lie Algebra of the Fermion Operators
    Seiya Nishiyama
  15. 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
  16. Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 752-774 :
    Generalization of Equation of Collective Submanifold
    Masatoshi Yamamura and Atsushi Kuriyama
  17. 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
  18. 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
  19. Progress of Theoretical Physics Vol. 85 No. 6 (1991) pp. 1211-1222 :
    Resonating Hartree-Bogoliubov Theory for a Superconducting Fermion System with Large Quantum Fluctuations
    Seiya Nishiyama and Hideo Fukutome
  20. Progress of Theoretical Physics Supplement No.71 (1981) pp. 1-47 :
    Chapter 1. Present Status of the Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei
    Toshio Marumori, Kenjiro Takada and Fumihiko Sakata
  21. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 66-88 :
    A Microscopic Theory of Collective and Independent-Particle Motions
    Atsushi Kuriyama

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