On relativistic equations of motion without ``redundant'' components
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 2, pp. 192-205
Voir la notice de l'article provenant de la source Math-Net.Ru
On the basis of a definite representation (2.1) for the generators of the proper Poincard group
all (to within unitary equivalence) operator functions $H$ for which Eq. (1.1) is invariant under
the complete Poincaré group (including space-time reflections) are described. For arbitrary
spin a unitary operator is found that relates the representation (2.1) to the Foldy–Shirokov
canonical representation. Explicit expressions are obtained for the operators of the coordinate,
velocity, and spin in the representation (2.1) for an arbitrary spin $s$.
@article{TMF_1971_8_2_a3,
author = {W. I. Fushchych and A. L. Grishchenko and A. G. Nikitin},
title = {On relativistic equations of motion without ``redundant'' components},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {192--205},
publisher = {mathdoc},
volume = {8},
number = {2},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_2_a3/}
}
TY - JOUR AU - W. I. Fushchych AU - A. L. Grishchenko AU - A. G. Nikitin TI - On relativistic equations of motion without ``redundant'' components JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1971 SP - 192 EP - 205 VL - 8 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1971_8_2_a3/ LA - ru ID - TMF_1971_8_2_a3 ER -
%0 Journal Article %A W. I. Fushchych %A A. L. Grishchenko %A A. G. Nikitin %T On relativistic equations of motion without ``redundant'' components %J Teoretičeskaâ i matematičeskaâ fizika %D 1971 %P 192-205 %V 8 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1971_8_2_a3/ %G ru %F TMF_1971_8_2_a3
W. I. Fushchych; A. L. Grishchenko; A. G. Nikitin. On relativistic equations of motion without ``redundant'' components. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 2, pp. 192-205. http://geodesic.mathdoc.fr/item/TMF_1971_8_2_a3/