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
AN - SCOPUS:85017161159
SP - 1
EP - 11
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
ER -