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Harmonic Oscillator SUSY Partners and Evolution Loops

Harmonic Oscillator SUSY Partners and Evolution Loops

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...

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Main Author: Fernández, D.J.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/148452
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spelling irk-123456789-1484522019-02-19T01:23:18Z Harmonic Oscillator SUSY Partners and Evolution Loops Fernández, D.J. 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. 2012 Article Harmonic Oscillator SUSY Partners and Evolution Loops / D.J. Fernández // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 60 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81Q60; 81Q05; 81Q70 DOI: http://dx.doi.org/10.3842/SIGMA.2012.041 http://dspace.nbuv.gov.ua/handle/123456789/148452 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Fernández, D.J.
spellingShingle Fernández, D.J.
Harmonic Oscillator SUSY Partners and Evolution Loops
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Fernández, D.J.
author_sort Fernández, D.J.
title Harmonic Oscillator SUSY Partners and Evolution Loops
title_short Harmonic Oscillator SUSY Partners and Evolution Loops
title_full Harmonic Oscillator SUSY Partners and Evolution Loops
title_fullStr Harmonic Oscillator SUSY Partners and Evolution Loops
title_full_unstemmed Harmonic Oscillator SUSY Partners and Evolution Loops
title_sort harmonic oscillator susy partners and evolution loops
publisher Інститут математики НАН України
publishDate 2012
url http://dspace.nbuv.gov.ua/handle/123456789/148452
citation_txt Harmonic Oscillator SUSY Partners and Evolution Loops / D.J. Fernández // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 60 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT fernandezdj harmonicoscillatorsusypartnersandevolutionloops
first_indexed 2023-05-20T17:30:43Z
last_indexed 2023-05-20T17:30:43Z
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