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 -