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Progress of Theoretical Physics

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

Masao Nomura

Published Nov 1, 1978• 0 citations
Publisher

Abstract

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
DOI
10.1143/ptp.60.1610

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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.