Multiparticle SUSY quantum mechanics and the representations of permutation group

Simple item page
dc.creatorIoffe, M. V.
dc.creatorNeelov, A. I.
dc.date2000-01-18
dc.date.accessioned2026-07-07T10:54:56Z
dc.date.available2026-07-07T10:54:56Z
dc.descriptionThe method of multidimensional SUSY Quantum Mechanics is applied to the investigation of supersymmetrical N-particle systems on a line for the case of separable center-of-mass motion. New decompositions of the superhamiltonian into block-diagonal form with elementary matrix components are constructed. Matrices of coefficients of these minimal blocks are shown to coincide with matrices of irreducible representations of permutations group S_N, which correspond to the Young tableaux (N-M,1^M). The connections with known generalizations of N-particle Calogero and Sutherland models are established.
dc.description20 pages, Latex,no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0001063
dc.identifierhttp://arxiv.org/abs/quant-ph/0001063
dc.identifierJ.Phys.A33:1581,2000
dc.identifierdoi:10.1088/0305-4470/33/8/305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185963
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleMultiparticle SUSY quantum mechanics and the representations of permutation group
dc.typetext

Files

Collections

arXiv