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Prog. Theor. Phys. Vol. 59 No. 2 (1978) pp. 451-464

Reordering into Normal Products, the Commutation Relation and the Particle-Hole Relation in the Many-Body Shell Model Bases

Masao Nomura

Institute of Physics, University of Tokyo, Komaba, Tokyo 153

(Received September 5, 1977)

Abstract:

Treatment of a general operator in the shell model bases is investigated as a reformulation and a slight generalization of a previous work. First, reordering of an operator into normal products is presented by the use of matrix elements in a few-body configurations instead of the use of the Wick theorem. Second, the commutation relation and the particle-hole relation in the many-body bases are presented each of which is equivalent to the cfp relation arising from the completeness of basic functions. Next, the operator whose matrix element fulfills particle-hole symmetry is constructed from an arbitrary operator. In turn, the operator is expressed as a sum of particle-hole symmetrized operators.

URL : http://ptp.ipap.jp/link?PTP/59/451/
DOI : 10.1143/PTP.59.451

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See Also:

• Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1610-1610 :

  Erratum : Reordering into Normal Products, the Commutation Relation and the Particle-Hole Relation in the Many-Body Shell Model Bases

  Masao Nomura

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References:

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16. J. B. French, Proceedings of the International School of Physics, Enrico Fermi, edited by C. Bloch (Academic Press, New York and London, 1966), p. 278.
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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 59 No. 4 (1978) pp. 1199-1212 :

   Study of Gaussian Distribution in Nuclear Spectroscopy

   Masao Nomura

2. Progress of Theoretical Physics Vol. 62 No. 4 (1979) pp. 1003-1017 :

   Form of the Effective Hamiltonian throughout sd-Shell

   Masao Nomura

3. Progress of Theoretical Physics Vol. 62 No. 6 (1979) pp. 1641-1654 :

   An Open-Shell RPA by Means of Seniority and Reduced Isospin Projections

   Masao Nomura

4. Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1305-1321 :

   Antisymmetrized Folded-Linked-Cluster Expansion for Many-Body Shell Model States

   Masao Nomura

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