Algebras of Symmetry Operators of the Klein–Gordon–Fock Equation for Groups Acting Transitively on Two-Dimensional Subspaces of a Space-Time Manifold

All external electromagnetic fields are found in which the Klein–Gordon–Fock equation for a charged test particle admits first-order symmetry operators provided that the groups of motions G 3 , r ≤ 3, act transitively on the two-dimensional subspace V 2 .

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Bibliographische Detailangaben
Veröffentlicht in:	Russian physics journal 2021-11, Vol.64 (7), p.1320-1327
Hauptverfasser:	Obukhov, V. V., Myrzakulov, K. R., Guselnikova, U. A., Zhadyranova, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Condensed Matter Physics Electromagnetic fields Electromagnetism Elementary Particle Physics and Field Theory Group theory Hadrons Heavy Ions Lasers Mathematical and Computational Physics Nuclear Physics Operators (mathematics) Optical Devices Optics Photonics Physics Physics and Astronomy Subspaces Symmetry Theoretical
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Beschreibung
Zusammenfassung:	All external electromagnetic fields are found in which the Klein–Gordon–Fock equation for a charged test particle admits first-order symmetry operators provided that the groups of motions G 3 , r ≤ 3, act transitively on the two-dimensional subspace V 2 .
ISSN:	1064-8887 1573-9228
DOI:	10.1007/s11182-021-02457-5