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Integrability of the pairing hamiltonian | M.C. Cambiaggio
; A.M.F. Rivas
; M. Saraceno
; | Date: |
18 Aug 1997 | Subject: | Nuclear Theory; Chaotic Dynamics; Exactly Solvable and Integrable Systems | nucl-th chao-dyn nlin.CD nlin.SI solv-int | 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. | Source: | arXiv, nucl-th/9708031 | Services: | Forum | Review | PDF | Favorites |
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