### Abstract

We use a sequence of N Darboux transforms for a stationary one-dimensional Schrodinger equation to construct an N-dimensional parasuperalgebra including superhamiltonians and supercharges, which are differential matrix operators with orders from one to N. We consider the harmonic oscillator as an example.

Original language | English |
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Pages (from-to) | 974-976 |

Number of pages | 3 |

Journal | Russian Physics Journal |

Volume | 39 |

Issue number | 10 |

Publication status | Published - 1996 |

Externally published | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Samsonov, B. F., & Samsonov, I. B. (1996). Exactly solvable totally reducible parasupersymmetric model of a quantum oscillator.

*Russian Physics Journal*,*39*(10), 974-976.