Intertwining Relations for the Matrix Calogero-like Models: Supersymmetry and Shape Invariance

Simple item page
dc.creatorIoffe, M. V.
dc.creatorNeelov, A. I.
dc.date2002-09-13
dc.date.accessioned2026-07-07T10:49:27Z
dc.date.available2026-07-07T10:49:27Z
dc.descriptionIntertwining relations for $N$-particle Calogero-like models with internal degrees of freedom are investigated. Starting from the well known Dunkl-Polychronakos operators, we construct new kind of local (without exchange operation) differential operators. These operators intertwine the matrix Hamiltonians corresponding to irreducible representations of the permutation group $S_N$. In particular cases, this method allows to construct a new class of exactly solvable Dirac-like equations and a new class of matrix models with shape invariance. The connection with approach of multidimensional supersymmetric quantum mechanics is established.
dc.description24 p.p
dc.identifierhttps://arxiv.org/abs/hep-th/0209110
dc.identifierhttp://arxiv.org/abs/hep-th/0209110
dc.identifierJ.Phys.A35:7613-7628,2002
dc.identifierdoi:10.1088/0305-4470/35/35/306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184225
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleIntertwining Relations for the Matrix Calogero-like Models: Supersymmetry and Shape Invariance
dc.typetext

Files

Collections

arXiv