HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 85 (1991) > Number 6
| Next Article >

Prog. Theor. Phys. Vol. 85 No. 6 (1991) pp. 1211-1222

[ Full Text PDF : FREE ACCESS (532K) ]

Resonating Hartree-Bogoliubov Theory for a Superconducting Fermion System with Large Quantum Fluctuations

Seiya Nishiyama and Hideo Fukutome*

Department of Physics, Kochi University, Kochi 780
*Department of Physics, Kyoto University, Kyoto 606

(Received January 29, 1991)

Abstract:

We develop a general theory to describe a superconducting Fermion system with large quantum fluctuations. The theory is a direct extension of the resonating Hartree-Fock (HF) theory to the Hartree-Bogoliubov case including pair correlations. We start with an exact coherent state representation of a superconducting Fermion system on a special orthogonal group. A state with large quantum fluctuations is approximated by a superposition of non-orthogonal Hartree-Bogoliubov (HB) wave functions with different correlation structures. We obtain the variational equations to determine the coefficients of configuration mixing and the orbitals in the resonating HB wave functions.


URL : http://ptp.ipap.jp/link?PTP/85/1211/
DOI : 10.1143/PTP.85.1211

[ Full Text PDF : FREE ACCESS (532K) ] Citation:

References:

  1. H. Fukutome, Prog. Theor. Phys. 80 (1988), 417[PTP].
  2. H. Fukutome, Prog. Theor. Phys. 81 (1989), 342[PTP].
  3. T. Holstein and H. Primakof, Phys. Rev. 58 (1940), 1098[APS].
    F. J. Dyson, Phys. Rev. 102 (1956), 1217[APS]; ibid. 102 (1956), 1231[APS].
    J. Schwinger, Quantum Theory of Angular Momentum, ed. L. Biedenharn and H. Van Dam (Academic Press, New York, 1965), p. 229.
    S. T. Belyaev and V. G. Zelevinsky, Nucl. Phys. 39 (1962), 582[CrossRef].
    T. Maruomori, M. Yamamura and A. Tokunaga, Prog. Theor. Phys. 31 (1964), 1009[PTP].
    M. Yamamura and S. Nishiyama, Prog. Theor. Phys. 56 (1976), 124[PTP].
    H. Fukutome, M. Yamamura and S. Nishiyama, Prog. Theor. Phys. 57 (1977), 1554[PTP].
    K. Takada, Nucl. Phys. A439 (1985), 489.
  4. A. Igawa and H. Fukutome, Prog. Theor. Phys. 80 (1988), 611[PTP].
  5. R. Bengtsson, T. Bengtsson, J. Dudek, G. Leander, W. Nazarewiez and J.-y. Zhang, Phys. Lett. 183B (1987), 1.
    R. Bengtsson and W. Nazarewiez, The Variety of Nuclear Shapes, Proceedings of the International Conference on Nuclear Shapes (World Scientific Publishing Co. Pte. Ltd. 1988), p. 371.
  6. I Ragnarsson and S. Åberg, Phys. Lett. 180B (1986), 191.
    J. Dudek, The Variety of Nuclear Shapes, Proceedings of the International Conference on Nuclear Shapes (World Scientific Publishing Co. Pte. Ltd. 1988), p. 195.
    P. J. Twin et al., Phys. Rev. Lett. 57 (1986), 811[APS].
  7. H. Fukutome, Prog. Theor. Phys. 65 (1981), 809[PTP].
  8. A. M. Perelomov, Commun. Math. Phys. 26 (1972), 222[CrossRef]; Sov. Phys.-Usp. 20 (1977), 703.
  9. R. E. Peierls and J. Yoccoz, Prog. Phys. Soc. London A70 (1957), 381.
    J. Yoccoz, Proc. Phys. Soc. London A70 (1957), 388.
  10. N. N. Bogoliubov, Sov. Phys.-Usp. 67 (1959), 236.
  11. D. Janssen, F. Dönau, S. Frauendorf and R. V. Jolos, Nucl. Phys. A172 (1971), 145.
  12. D. L. Hill and J. A. Wheeler, Phys. Rev. 102 (1953), 1106[APS].
  13. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, New York, 1980).
  14. N. Onishi and S. Yoshida, Nucl. Phys. 80 (1966), 367[CrossRef].
    R. Balian and E. Brézin, Nuovo Cim. 64B (1969), 37.
  15. K. Hara and S. Iwasaki, Nucl. Phys. A332 (1979), 61; ibid. A332 (1979), 69.
    A. Gózdź, Acta Phys. Pol. B20 (1989), 235.
  16. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. Suppl. No. 93 (1987).
  17. V. M. Strutinsky, Nucl. Phys. A95 (1976), 420; ibid. A122 (1968), 1.
  18. P. Bonche, J. Dowaczewski, H. Flocard, P.-H. Heenen and J. Meyer, Nucl. Phys. A510 (1990), 466.
  19. B. Bremond, Nucl. Phys. 58 (1964), 687[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 86 No. 2 (1991) pp. 371-387 :
    Resonating Random Phase Approximation for Excitations in a Superconducting Fermion System with Large Quantum Fluctuations
    Seiya Nishiyama and Hideo Fukutome
  2. Progress of Theoretical Physics Vol. 88 No. 5 (1992) pp. 911-932 :
    Maslov Phase as Geometric Phase in the Time-Dependent Variational Approach with Squeezed Coherent States
    Yasuhiko Tsue
  3. Progress of Theoretical Physics Vol. 121 No. 2 (2009) pp. 391-418 :
    Symmetry Classes of Spin and Orbital Ordered States in a t2g Hubbard Model on a Two-Dimensional Square Lattice
    Masanori Hamada, Akira Nakanishi, Akira Goto and Masa-aki Ozaki

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.