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.
- Dirac equation
- method of noncommutative integration
- separation of variables
ASJC Scopus subject areas
- Physics and Astronomy(all)