### Abstract

The study is continued on noncommutative integration of linear partial differential equations [1] in application to the exact integration of quantum-mechanical equations in a Riemann space. That method gives solutions to the Klein-Gordon equation when the set of noncommutative symmetry operations for that equation forms a quadratic algebra consisting of one second-order operator and of first-order operators forming a Lie algebra. The paper is a continuation of [2], where a single nontrivial example is used to demonstrate noncommutative integration of the Klein-Gordon equation in a Riemann space not permitting variable separation.

Original language | English |
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Pages (from-to) | 299-303 |

Number of pages | 5 |

Journal | Russian Physics Journal |

Volume | 38 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1995 |

Externally published | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'Quadratic algebras applied to noncommutative integration of the Klein-Gordon equation: Four-dimensional quadratic algebras containing three-dimensional nilpotent lie algebras'. Together they form a unique fingerprint.

## Cite this

*Russian Physics Journal*,

*38*(3), 299-303. https://doi.org/10.1007/BF00559478