Invariant definition of relativistic spin states in classical and quantum theories with an external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 2, pp. 220-223
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The invariant spin operators $\hat M=H^{\mu\nu}\hat\Pi_{\mu\nu}/2$ and $\hat M^{'}=E^{\mu\nu}\hat S_{\mu}\hat P_{\nu}/m_0c$, where $\hat\Pi_{\mu\nu}$ and $\hat S_{\mu}$ are spin operators, $H^{\mu\nu}$ is the tensor of an external electromagnetic field, and $E^{\mu\nu}$ is the tensor that is the dual of $H^{\mu\nu}$, are considered. The spin invariants $\hat M$ and $\hat M^{'}$ in the rest frame of the particle determine the spin projection onto the direction of the magnetic field. It is shown that in the Bargmann–Miehel–Telegdi approximation both spin invariants $\hat M=\hat M^{'}$ are integrals of the motion in both the classical and the quantum theory.
@article{TMF_1984_59_2_a4,
author = {V. A. Bordovitsyn and I. M. Ternov},
title = {Invariant definition of relativistic spin states in classical and quantum theories with an external field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {220--223},
year = {1984},
volume = {59},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a4/}
}
TY - JOUR AU - V. A. Bordovitsyn AU - I. M. Ternov TI - Invariant definition of relativistic spin states in classical and quantum theories with an external field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1984 SP - 220 EP - 223 VL - 59 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a4/ LA - ru ID - TMF_1984_59_2_a4 ER -
%0 Journal Article %A V. A. Bordovitsyn %A I. M. Ternov %T Invariant definition of relativistic spin states in classical and quantum theories with an external field %J Teoretičeskaâ i matematičeskaâ fizika %D 1984 %P 220-223 %V 59 %N 2 %U http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a4/ %G ru %F TMF_1984_59_2_a4
V. A. Bordovitsyn; I. M. Ternov. Invariant definition of relativistic spin states in classical and quantum theories with an external field. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 2, pp. 220-223. http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a4/
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