Supersymmetric Quantum Mechanics and Painlevé IV Equation

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dc.contributor.authorBermudez, David
dc.contributor.authorFern'andez C., David J.
dc.date.accessioned2019-02-11T15:02:05Z
dc.date.available2019-02-11T15:02:05Z
dc.date.issued2011
dc.description.abstractAs it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that some specific subsets of the higher-order supersymmetric partners of the harmonic oscillator possess third-order differential ladder operators. This allows us to introduce a simple technique for generating solutions of the Painlevé IV equation. Finally, we classify these solutions into three relevant hierarchies.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (July 18–30, 2010, Benasque, Spain). The full collection is available at http://www.emis.de/journals/SIGMA/SUSYQM2010.html. The authors acknowledge the support of Conacyt.uk_UA
dc.identifier.citationSupersymmetric Quantum Mechanics and Painlevé IV Equation / David Bermudez, David J. Fern'andez C. // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 27 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81Q60; 35G20
dc.identifier.otherDOI:10.3842/SIGMA.2011.025
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146780
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleSupersymmetric Quantum Mechanics and Painlevé IV Equationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік