New Class of Solvable and Integrable Many-Body Models

dc.creatorRichardson, R. W.
dc.date2002-03-25
dc.date2002-03-26
dc.date.accessioned2026-07-07T02:44:48Z
dc.date.available2026-07-07T02:44:48Z
dc.descriptionIntegrability conditions for systems of bosons or fermions with seniority conserving hamiltonians are derived. The conditions are shown to be invariant under a large class of transformations of the interaction matrix elements. Previously published integrable models are shown to satisfy these conditions and the existence of a new class of integrable models is demonstrated. The number of free parameters in the interaction in these models equals the number of single particle levels plus 3 . Equations for the energy eigenstates and eigenvalues are derived and the eigenvalues of the complete set of two-body integrals of the motion are given for the new class. Some two-body correlations in these eigenstates are derived from the integrals of the motion.
dc.description16 pages, 0 figures, RevTex4
dc.identifierhttps://arxiv.org/abs/cond-mat/0203512
dc.identifierhttp://arxiv.org/abs/cond-mat/0203512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19076
dc.subjectCondensed Matter
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleNew Class of Solvable and Integrable Many-Body Models
dc.typetext

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