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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 041, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.041 (Mi sigma718) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Harmonic oscillator SUSY partners and evolution loops

David J. Fernández

Departamento de Física, Cinvestav, A.P. 14-740, 07000 México D.F., México
Full-text PDF (450 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2012.041
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.
Keywords: supersymmetric quantum mechanics, quantum harmonic oscillator, polynomial Heisenberg algebra, geometric phase.
Received: May 28, 2012; in final form July 4, 2012; Published online July 11, 2012
Bibliographic databases:
Document Type: Article
MSC: 81Q60; 81Q05; 81Q70
Language: English
Citation: David J. Fernández, “Harmonic oscillator SUSY partners and evolution loops”, SIGMA, 8 (2012), 041, 12 pp.
Citation in format AMSBIB
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\paper Harmonic oscillator SUSY partners and evolution loops
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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