Harmonic Oscillator SUSY Partners and Evolution Loops
dc.contributor.author | Fernández, D.J. | |
dc.date.accessioned | 2019-02-18T12:55:27Z | |
dc.date.available | 2019-02-18T12:55:27Z | |
dc.date.issued | 2012 | |
dc.description.abstract | Supersymmetric 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.sponsorship | This 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.citation | Harmonic 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.issn | 1815-0659 | |
dc.identifier.other | 2010 Mathematics Subject Classification: 81Q60; 81Q05; 81Q70 | |
dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2012.041 | |
dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/148452 | |
dc.language.iso | en | uk_UA |
dc.publisher | Інститут математики НАН України | uk_UA |
dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
dc.status | published earlier | uk_UA |
dc.title | Harmonic Oscillator SUSY Partners and Evolution Loops | uk_UA |
dc.type | Article | uk_UA |
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