### 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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

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

**Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra.** / Breev, A. I.; Magazev, A. A.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra

AU - Breev, A. I.

AU - Magazev, A. A.

PY - 2017/4/7

Y1 - 2017/4/7

N2 - 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.

AB - 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.

KW - Dirac equation

KW - method of noncommutative integration

KW - separation of variables

UR - http://www.scopus.com/inward/record.url?scp=85017161159&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85017161159&partnerID=8YFLogxK

U2 - 10.1007/s11182-017-1013-y

DO - 10.1007/s11182-017-1013-y

M3 - Article

SP - 1

EP - 11

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

ER -