### Abstract

Noncommutative integration of the Dirac equation on Lie groups with a right-invariant metric and an invariant electromagnetic field tensor is considered. An electromagnetic field, admitting a noncommutative reduction of the Dirac equation, but not admitting either diagonalization of the squared Dirac equation or separation of variables, is found.

Original language | English |
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Pages (from-to) | 1-11 |

Number of pages | 11 |

Journal | Russian Physics Journal |

DOIs | |

Publication status | Accepted/In press - 7 Apr 2017 |

### Keywords

- Dirac equation
- method of noncommutative integration
- separation of variables

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Breev, A. I., & Magazev, A. A. (Accepted/In press). Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra.

*Russian Physics Journal*, 1-11. https://doi.org/10.1007/s11182-017-1013-y