### 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 |
---|---|

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 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Russian Physics Journal*,

*39*(10), 974-976.

**Exactly solvable totally reducible parasupersymmetric model of a quantum oscillator.** / Samsonov, B. F.; Samsonov, I. B.

Research output: Contribution to journal › Article

*Russian Physics Journal*, vol. 39, no. 10, pp. 974-976.

}

TY - JOUR

T1 - Exactly solvable totally reducible parasupersymmetric model of a quantum oscillator

AU - Samsonov, B. F.

AU - Samsonov, I. B.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=53349144523&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=53349144523&partnerID=8YFLogxK

M3 - Article

VL - 39

SP - 974

EP - 976

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 10

ER -