Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty

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dc.contributor.authorJana, T.K.
dc.contributor.authorRoy, P.
dc.date.accessioned2019-02-19T17:32:52Z
dc.date.available2019-02-19T17:32:52Z
dc.date.issued2009
dc.description.abstractWe study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. The spectrum in both the cases are found to be real. It is also shown that the models are η pseudo-Hermitian and the metric operator is found explicitly in both the cases.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the 5-th Microconference “Analytic and Algebraic Methods V”. The authors would like to thank the referees for suggesting improvements.uk_UA
dc.identifier.citationNon-Hermitian Quantum Mechanics with Minimal Length Uncertainty / T.K. Jana, P. Roy // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 81Q05; 81S05
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149124
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleNon-Hermitian Quantum Mechanics with Minimal Length Uncertaintyuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік