Non-Hermitian supersymmetry and singular PT symmetrized oscillators

dc.creatorZnojil, Miloslav
dc.date2002-01-09
dc.date.accessioned2026-07-07T10:53:44Z
dc.date.available2026-07-07T10:53:44Z
dc.descriptionSUSY partnership between singular potentials often breaks down. Via regularization it can be restored on certain ad hoc subspaces of Hilbert space [Das and Pernice, Nucl. Phys. B 561 (1999) 357]. Within the naturally complexified (so called PT symmetric) quantum mechanics we show how SUSY between strongly singular harmonic oscillators can completely be re-established. Our recipe leads to a new form of the bosonic creation and annihilation operators and proves continuous near the usual regular (i.e., linear harmonic) limit.
dc.description24 pages incl. 5 tables and 1 figure
dc.identifierhttps://arxiv.org/abs/hep-th/0201056
dc.identifierhttp://arxiv.org/abs/hep-th/0201056
dc.identifierJ.Phys.A35:2341-2352,2002
dc.identifierdoi:10.1088/0305-4470/35/9/320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185583
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Hermitian supersymmetry and singular PT symmetrized oscillators
dc.typetext

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