dorsal/arxiv
View SchemaThe Lipkin Model in the su(M+1)-Algebra for Many-Fermion System and its Counterpart in the Schwinger Boson Representation
| Authors | C. Providencia, J. da Providencia, Y. Tsue, M. Yamamura |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0504024 |
| URL | https://arxiv.org/abs/nucl-th/0504024 |
| DOI | 10.1143/PTP.114.57 |
Abstract
Following the Schwinger boson representation for the su(M+1)- and the su(N,1)-algebra presented by two of the present authors (J. da P. and M. Y.) and Kuriyama, a possible counterpart of the Lipkin model in the su(M+1)-algebra formulated in the fermion space is presented. The free vacuum, which plays a fundamental role in the conventional treatment of the Lipkin model, is generalized in a quite natural way, and further, the excited state generating operators such as the particle-hole pairs are also given in a natural scheme. As concrete examples, the cases of the su(2)-, su(3)- and the su(4)-algebra are discussed. Especially, the case of the su(4)-algebra is investigated in detail in relation to the nucleon pairing correlations and the high temperature superconductivity.
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"abstract": "Following the Schwinger boson representation for the su(M+1)- and the\nsu(N,1)-algebra presented by two of the present authors (J. da P. and M. Y.)\nand Kuriyama, a possible counterpart of the Lipkin model in the su(M+1)-algebra\nformulated in the fermion space is presented. The free vacuum, which plays a\nfundamental role in the conventional treatment of the Lipkin model, is\ngeneralized in a quite natural way, and further, the excited state generating\noperators such as the particle-hole pairs are also given in a natural scheme.\nAs concrete examples, the cases of the su(2)-, su(3)- and the su(4)-algebra are\ndiscussed. Especially, the case of the su(4)-algebra is investigated in detail\nin relation to the nucleon pairing correlations and the high temperature\nsuperconductivity.",
"arxiv_id": "nucl-th/0504024",
"authors": [
"C. Providencia",
"J. da Providencia",
"Y. Tsue",
"M. Yamamura"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.114.57",
"title": "The Lipkin Model in the su(M+1)-Algebra for Many-Fermion System and its Counterpart in the Schwinger Boson Representation",
"url": "https://arxiv.org/abs/nucl-th/0504024"
},
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