Harmonic Oscillator SUSY Partners and Evolution Loops

dc.contributor.authorFernández, D.J.
dc.date.accessioned2019-02-18T12:55:27Z
dc.date.available2019-02-18T12:55:27Z
dc.date.issued2012
dc.description.abstractSupersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg algebras is obtained. In this paper it will be shown that the SUSY partner Hamiltonians of the harmonic oscillator can produce evolution loops. The corresponding geometric phases will be as well studied.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html. The author acknowledges the financial support of Conacyt, project 152574, as well as the comments of Alonso Contreras-Astorga.uk_UA
dc.identifier.citationHarmonic Oscillator SUSY Partners and Evolution Loops / D.J. Fernández // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 60 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81Q60; 81Q05; 81Q70
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2012.041
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148452
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleHarmonic Oscillator SUSY Partners and Evolution Loopsuk_UA
dc.typeArticleuk_UA

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