Integrability of the pairing hamiltonian
Nuclear Theory
2009-10-30 v1 chao-dyn
Chaotic Dynamics
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.nucl-th/9708031,
title = {Integrability of the pairing hamiltonian},
author = {M. C. Cambiaggio and A. M. F. Rivas and M. Saraceno},
journal= {arXiv preprint arXiv:nucl-th/9708031},
year = {2009}
}
Comments
14 pages, latex, 2 figures, to be published in Nuclear Physics A