dorsal/arxiv
View SchemaProjection Operator Formalisms and the Nuclear Shell Model
| Authors | B. K. Jennings |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0504042 |
| URL | https://arxiv.org/abs/nucl-th/0504042 |
| DOI | 10.1209/epl/i2005-10215-y |
| Journal | Europhys.Lett. 72 (2005) 211-215 |
Abstract
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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"abstract": "The shell model solve the nuclear many-body problem in a restricted model\nspace and takes into account the restricted nature of the space by using\neffective interactions and operators. In this paper two different methods for\ngenerating the effective interactions are considered. One is based on a partial\nsolution of the Schrodinger equation (Bloch-Horowitz or the Feshbach projection\nformalism) and other on linear algebra (Lee-Suzuki). The two methods are\nderived in a parallel manner so that the difference and similarities become\napparent. The connections with the renormalization group are also pointed out.",
"arxiv_id": "nucl-th/0504042",
"authors": [
"B. K. Jennings"
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"doi": "10.1209/epl/i2005-10215-y",
"journal_ref": "Europhys.Lett. 72 (2005) 211-215",
"title": "Projection Operator Formalisms and the Nuclear Shell Model",
"url": "https://arxiv.org/abs/nucl-th/0504042"
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