Harmonic Oscillator SUSY Partners and Evolution Loops

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2012
• 1. Verfasser: Fernández, D.J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2012
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/148452
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Harmonic Oscillator SUSY Partners and Evolution Loops / D.J. Fernández // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 60 назв. — англ.

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...