Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations

Simple item page
dc.creatorQuesne, C.
dc.date2007-10-12
dc.date2008-06-03
dc.date.accessioned2026-07-07T11:38:03Z
dc.date.available2026-07-07T11:38:03Z
dc.descriptionA harmonic oscillator Hamiltonian augmented by a non-Hermitian \pt-symmetric part and its su(1,1) generalizations, for which a family of positive-definite metric operators was recently constructed, are re-examined in a supersymmetric context. Quasi-Hermitian supersymmetric extensions of such Hamiltonians are proposed by enlarging su(1,1) to a ${\rm su}(1,1/1) \sim {\rm osp}(2/2, \R)$ superalgebra. This allows the construction of new non-Hermitian Hamiltonians related by similarity to Hermitian ones. Some examples of them are reviewed.
dc.description15 pages, no figure; published version
dc.identifierhttps://arxiv.org/abs/0710.2453
dc.identifierhttp://arxiv.org/abs/0710.2453
dc.identifierJ.Phys.A41:244022,2008
dc.identifierdoi:10.1088/1751-8113/41/24/244022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199427
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleQuasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations
dc.typetext

Files

Collections

arXiv