Equations of~motion for particles of~arbitrary spin invariant under the Galileo group
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 34-46
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The first and the second order differential equations are derived which are invariant under the Galilei group and describe the motion of a particle with arbitrary spin. These equations admit the Lagrangian formulation and describe the dipole, spin-orbital and Darwin couplings of a particle with external electromagnetic field which are considered traditionally as pure relativistic effects. The problem of the motion of spin $1/2$ nonrelativistic particle in an external electromagnetic field is exactly solved.
@article{TMF_1980_44_1_a2,
author = {A. G. Nikitin and W. I. Fushchych},
title = {Equations of~motion for particles of~arbitrary spin invariant under the {Galileo} group},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {34--46},
publisher = {mathdoc},
volume = {44},
number = {1},
year = {1980},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a2/}
}
TY - JOUR AU - A. G. Nikitin AU - W. I. Fushchych TI - Equations of~motion for particles of~arbitrary spin invariant under the Galileo group JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1980 SP - 34 EP - 46 VL - 44 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a2/ LA - ru ID - TMF_1980_44_1_a2 ER -
%0 Journal Article %A A. G. Nikitin %A W. I. Fushchych %T Equations of~motion for particles of~arbitrary spin invariant under the Galileo group %J Teoretičeskaâ i matematičeskaâ fizika %D 1980 %P 34-46 %V 44 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a2/ %G ru %F TMF_1980_44_1_a2
A. G. Nikitin; W. I. Fushchych. Equations of~motion for particles of~arbitrary spin invariant under the Galileo group. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 34-46. http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a2/