21 citations · 51 across the 23 of their papers we have counts for
5 papers · 1 filter
Noncommutative reduction of the nonlinear Schrödinger equation on Lie groups
A. I. Breev, A. V. Shapovalov, D. M. Gitman
We propose a new approach that allows one to reduce nonlinear equations on Lie groups to equations with a fewer number of independent variables for finding particular solutions of…
Noncommutative integration of the Dirac equation in homogeneous spaces
A. I. Breev, A. V. Shapovalov
We develop a noncommutative integration method for the Dirac equation in homogeneous spaces. The Dirac equation with an invariant metric is shown to be equivalent to a system of eq…
Symmetry operators and separation of variables in the -dimensional Dirac equation with external electromagnetic field
A. V. Shapovalov, A. I. Breev
We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential i…
The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration
A. I. Breev, A. V. Shapovalov
Integration of the Dirac equation with an external electromagnetic field is explored in the framework of the method of separation of variables and of the method of noncommutative i…
One-loop stress tensors for scalar and spinor fields on the homogeneous spaces with G-invariant metrics
A. I. Breev
Vacuum expectation value of the stress-energy-momentum tensor for scalar and spinor fields is obtainted on the homogeneous space with -invariant metrics using the orbits of coad…