### Abstract

The structure of realizations of generalized algebras of supersymmetric quantum mechanics (GSQM algebras) with several commuting involutions is described. Quantum Hamiltonians possessing such generalized supersymmetry are constructed. The connection between GSQM algebras and the algebras of extended supersymmetry is considered.

Original language | English |
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Pages (from-to) | 294-299 |

Number of pages | 6 |

Journal | Theoretical and Mathematical Physics |

Volume | 94 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Mar 1993 |

### Fingerprint

### Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Theoretical and Mathematical Physics*,

*94*(3), 294-299. https://doi.org/10.1007/BF01017261

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*Theoretical and Mathematical Physics*, vol. 94, no. 3, pp. 294-299. https://doi.org/10.1007/BF01017261

**Generalized algebras of supersymmetric quantum mechanics.** / Borisov, N. V.; Il'inskii, K. N.; Uzdin, V. M.

Research output

TY - JOUR

T1 - Generalized algebras of supersymmetric quantum mechanics

AU - Borisov, N. V.

AU - Il'inskii, K. N.

AU - Uzdin, V. M.

PY - 1993/3/1

Y1 - 1993/3/1

N2 - The structure of realizations of generalized algebras of supersymmetric quantum mechanics (GSQM algebras) with several commuting involutions is described. Quantum Hamiltonians possessing such generalized supersymmetry are constructed. The connection between GSQM algebras and the algebras of extended supersymmetry is considered.

AB - The structure of realizations of generalized algebras of supersymmetric quantum mechanics (GSQM algebras) with several commuting involutions is described. Quantum Hamiltonians possessing such generalized supersymmetry are constructed. The connection between GSQM algebras and the algebras of extended supersymmetry is considered.

UR - http://www.scopus.com/inward/record.url?scp=34250074089&partnerID=8YFLogxK

U2 - 10.1007/BF01017261

DO - 10.1007/BF01017261

M3 - Article

AN - SCOPUS:34250074089

VL - 94

SP - 294

EP - 299

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 3

ER -