On relativistic equations of motion without “redundant” components
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 2, pp. 192-205
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 {\textquotedblleft}redundant{\textquotedblright} components},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {192--205},
year = {1971},
volume = {8},
number = {2},
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 UR - http://geodesic.mathdoc.fr/item/TMF_1971_8_2_a3/ LA - ru ID - TMF_1971_8_2_a3 ER -
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/
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