dorsal/arxiv
View SchemaIntegrability of the pairing hamiltonian
| Authors | M. C. Cambiaggio, A. M. F. Rivas, M. Saraceno |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9708031 |
| URL | https://arxiv.org/abs/nucl-th/9708031 |
| DOI | 10.1016/S0375-9474(97)00418-1 |
Abstract
We show that a many-body Hamiltonian that corresponds to a system of fermions interacting through a pairing force is an integrable problem, i.e. it has as many constants of the motion as degrees of freedom. At the classical level this implies that the Time-dependent Hartree-Fock- Bogoliubov dynamics is integrable and at the quantum level that there are conserved operators of two-body character which reduce to the number operators when the pairing strength vanishes. We display these operators explicitly and study in detail the three-level example.
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"abstract": "We show that a many-body Hamiltonian that corresponds to a system of fermions\ninteracting through a pairing force is an integrable problem, i.e. it has as\nmany constants of the motion as degrees of freedom. At the classical level this\nimplies that the Time-dependent Hartree-Fock- Bogoliubov dynamics is integrable\nand at the quantum level that there are conserved operators of two-body\ncharacter which reduce to the number operators when the pairing strength\nvanishes. We display these operators explicitly and study in detail the\nthree-level example.",
"arxiv_id": "nucl-th/9708031",
"authors": [
"M. C. Cambiaggio",
"A. M. F. Rivas",
"M. Saraceno"
],
"categories": [
"nucl-th",
"chao-dyn",
"nlin.CD",
"nlin.SI",
"solv-int"
],
"doi": "10.1016/S0375-9474(97)00418-1",
"title": "Integrability of the pairing hamiltonian",
"url": "https://arxiv.org/abs/nucl-th/9708031"
},
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