2002/03/25 by R. W. Richardson, Richardson, R. W.
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #cond-mat #nucl-th #quant-ph
paper · pdf · doi:10.48550/arxiv.cond-mat/0203512
16 pages, 0 figures, RevTex4
arxiv created 2002/03/26 · arxiv updated 2009/11/30
Integrability 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.