Integrability of the pairing hamiltonian

Details Integrability of the pairing hamiltonian Integrability of the pairing hamiltonian

1997-08-18

arxiv.org/abs/nucl-th/9708031v1

Physics

Nuclear Physics

Nuclear Theory

14 pages, latex, 2 figures, to be published in Nuclear Physics A

Scientific paper

10.1016/S0375-9474(97)00418-1

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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