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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
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
Citation:
David J. Fernández, “Harmonic oscillator SUSY partners and evolution loops”, SIGMA, 8 (2012), 041, 12 pp.
Linking options:
https://www.mathnet.ru/eng/sigma718 https://www.mathnet.ru/eng/sigma/v8/p41
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