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Prog. Theor. Phys. Vol. 70 No. 2 (1983) pp. 439-451

[ Full Text PDF : FREE ACCESS (592K) ]

Degenerate Perturbation Theory in Quantum Mechanics

Kenji Suzuki and Ryoji Okamoto

Department of Physics, Kyushu Institute of Technology, Kitakyushu 804

(Received April 27, 1983)

Abstract:

The relations are discussed among a number of different formulations of perturbation theory for an effective Hamiltonian of a general quantum system. Although the definitions and the formulations are apparently different, it is shown that the effective Hamiltonians, which have appeared in the history of time-independent approaches, can be written simply in a unified form. Expansion formulae are given explicitly for both the non-Hermitian and Hermitian effective Hamiltonians, and a discussion is given on a method for summing up the expansion series and obtaining a convergent result.


URL : http://ptp.ipap.jp/link?PTP/70/439/
DOI : 10.1143/PTP.70.439

[ Full Text PDF : FREE ACCESS (592K) ] Citation:

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References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1221-1238 :
    General Structure of Effective Interaction in Degenerate Perturbation Theory
    Kenji Suzuki and Ryoji Okamoto
  2. 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
  3. Progress of Theoretical Physics Vol. 75 No. 6 (1986) pp. 1388-1404 :
    Unitary-Model-Operator Approach to Nuclear Many-Body Problem. I
    Kenji Suzuki and Ryoji Okamoto
  4. 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
  5. Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 330-342 :
    Theory of Many-Fermion System on Unitary-Transformation Method
    Kenji Suzuki
  6. 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
  7. Progress of Theoretical Physics Vol. 93 No. 5 (1995) pp. 905-917 :
    Effective Operators in Time-Independent Approach
    Kenji Suzuki and Ryoji Okamoto

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