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Prog. Theor. Phys. Vol. 71 No. 6 (1984) pp. 1221-1238

[ Full Text PDF : FREE ACCESS (937K) ]

General Structure of Effective Interaction in Degenerate Perturbation Theory

Kenji Suzuki and Ryoji Okamoto

Department of Physics, Kyushu Institute of Technology, Kitakyushu 804

(Received February 13, 1984)

Abstract:

A general definition of effective Hamiltonian or effective interaction is given, which includes the standard non-Hermitian form, Kato's effective Hamiltonian and the Hermitian form as special cases. A classification rule for various effective Hamiltonians is established. General and exact expansion formulae are given for the wave operator and the effective interactions including the Hermitian form in the case that unperturbed energies are degenerate.


URL : http://ptp.ipap.jp/link?PTP/71/1221/
DOI : 10.1143/PTP.71.1221

[ Full Text PDF : FREE ACCESS (937K) ] Citation:

References:

  1. K. Suzuki and R. Okamoto, Prog. Theor. Phys. 70 (1983), 439 [PTP][Errata; 71 (1984), 670[PTP]].
  2. C. Bloch, Nucl. Phys. 6 (1958), 329[CrossRef].
  3. I. Lindgren, J. of Phys. B7 (1974), 2441.
  4. T. Kato, Prog. Theor. Phys. 4 (1949), 514[PTP].
  5. J. H. Van Vleck, Phys. Rev. 33 (1929), 467[APS].
  6. S. Ōkubo, Prog. Theor. Phys. 12 (1954), 603[PTP].
  7. N. Fukuda, K. Sawada and M. Taketani, Prog. Theor. Phys. 12 (1954), 156[PTP].
  8. J. des Cloizeaux, Nucl. Phys. 20 (1960), 321[CrossRef].
  9. B. H. Brandow, Lecture Notes in Physics (Springer-Verlag, 1975), vol. 40, p. 1.
  10. B. H. Brandow, Rev. Mod. Phys. 39 (1967), 771[APS]; Int. J. Quantum Chem. 15 (1979), 207.
  11. D. J. Klein, J. Chem. Phys. 61 (1974), 786[CrossRef].
  12. A. Poves and A. Zuker, Phys. Rep. 71 (1981), 141[CrossRef].
  13. I. Shavitt and L. T. Redmon, J. Chem. Phys. 73 (1980), 5711[CrossRef].
  14. P. Westhaus, Int. J. Quantum Chem. 20 (1981), 1243.
  15. K. Suzuki, Prog. Theor. Phys. 68 (1982), 246[PTP].
  16. S. Y. Lee, Thesis, SUNY (Stony Brook, 1972), unpublished.
  17. E. M. Krenciglowa and T. T. S. Kuo, Nucl. Phys. A235 (1974), 171[Elsevier].
    T. T. S. Kuo, Lecture Notes in Physics (Springer-Verlag, 1981), vol. 144, p. 248.
  18. K. Suzuki and S. Y. Lee, Prog. Theor. Phys. 64 (1980), 2091[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 534-548 :
    Perturbation Theory for Quasidegenerate System in Quantum Mechanics
    Kenji Suzuki and Ryoji Okamoto
  2. Progress of Theoretical Physics Vol. 74 No. 6 (1985) pp. 1245-1263 :
    Pair Rotation in the Dynamical Nuclear Field Theory
    Teruo Kishimoto and Tetsuo Kammuri
  3. Progress of Theoretical Physics Vol. 76 No. 1 (1986) pp. 127-142 :
    Unitary-Model-Operator Approach to Nuclear Many-Body Problem. II
    Kenji Suzuki and Ryoji Okamoto
  4. Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 330-342 :
    Theory of Many-Fermion System on Unitary-Transformation Method
    Kenji Suzuki
  5. Progress of Theoretical Physics Vol. 92 No. 6 (1994) pp. 1045-1080 :
    Effective Interaction Theory and Unitary-Model-Operator Approach to Nuclear Saturation Problem
    Kenji Suzuki and Ryoji Okamoto

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