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26 April 2024
 
  » arxiv » nucl-th/9708031

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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
AbstractWe 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
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