Projection Operator Formalisms and the Nuclear Shell Model

Details Projection Operator Formalisms and the Nuclear Shell Model Projection Operator Formalisms and the Nuclear Shell Model

2005-04-13

arxiv.org/abs/nucl-th/0504042v1

Europhys.Lett. 72 (2005) 211-215

Physics

Nuclear Physics

Nuclear Theory

4 pages, no figures

Scientific paper

10.1209/epl/i2005-10215-y

The shell model solve the nuclear many-body problem in a restricted model space and takes into account the restricted nature of the space by using effective interactions and operators. In this paper two different methods for generating the effective interactions are considered. One is based on a partial solution of the Schrodinger equation (Bloch-Horowitz or the Feshbach projection formalism) and other on linear algebra (Lee-Suzuki). The two methods are derived in a parallel manner so that the difference and similarities become apparent. The connections with the renormalization group are also pointed out.

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