Abstract
We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential in a (2 + 1)-dimensional Riemann (curved) spacetime. Nonequivalent complete sets of mutually commuting symmetry operators are classified in a (2 + 1)-dimensional Minkowski (flat) space. For each of the sets, we carry out a complete separation of variables in the Dirac equation and find a corresponding electromagnetic potential permitting separation of variables.
| Original language | English |
|---|---|
| Article number | 1850085 |
| Journal | International Journal of Geometric Methods in Modern Physics |
| Volume | 15 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 May 2018 |
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Keywords
- (2 + 1)-dimensional Dirac equation
- separation of variables
- symmetry operators
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Symmetry operators and separation of variables in the (2 + 1)-dimensional Dirac equation with external electromagnetic field. / Shapovalov, A. V.; Breev, A. I.
In: International Journal of Geometric Methods in Modern Physics, Vol. 15, No. 5, 1850085, 01.05.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Symmetry operators and separation of variables in the (2 + 1)-dimensional Dirac equation with external electromagnetic field
AU - Shapovalov, A. V.
AU - Breev, A. I.
PY - 2018/5/1
Y1 - 2018/5/1
N2 - We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential in a (2 + 1)-dimensional Riemann (curved) spacetime. Nonequivalent complete sets of mutually commuting symmetry operators are classified in a (2 + 1)-dimensional Minkowski (flat) space. For each of the sets, we carry out a complete separation of variables in the Dirac equation and find a corresponding electromagnetic potential permitting separation of variables.
AB - We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential in a (2 + 1)-dimensional Riemann (curved) spacetime. Nonequivalent complete sets of mutually commuting symmetry operators are classified in a (2 + 1)-dimensional Minkowski (flat) space. For each of the sets, we carry out a complete separation of variables in the Dirac equation and find a corresponding electromagnetic potential permitting separation of variables.
KW - (2 + 1)-dimensional Dirac equation
KW - separation of variables
KW - symmetry operators
UR - http://www.scopus.com/inward/record.url?scp=85044793408&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85044793408&partnerID=8YFLogxK
U2 - 10.1142/S0219887818500858
DO - 10.1142/S0219887818500858
M3 - Article
AN - SCOPUS:85044793408
VL - 15
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
SN - 0219-8878
IS - 5
M1 - 1850085
ER -