Harmonic Oscillator SUSY Partners and Evolution Loops

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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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.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	http://dspace.nbuv.gov.ua/handle/123456789/148452
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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Harmonic Oscillator SUSY Partners and Evolution Loops	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA