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 TMF, 1984, Volume 59, Number 2, Pages 220–223 (Mi tmf4824)

Invariant definition of relativistic spin states in classical and quantum theories with an external field

V. A. Bordovitsyn, I. M. Ternov

Abstract: 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.

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English version:
Theoretical and Mathematical Physics, 1984, 59:2, 465–467

Bibliographic databases:

Citation: V. A. Bordovitsyn, I. M. Ternov, “Invariant definition of relativistic spin states in classical and quantum theories with an external field”, TMF, 59:2 (1984), 220–223; Theoret. and Math. Phys., 59:2 (1984), 465–467

Citation in format AMSBIB
\Bibitem{BorTer84} \by V.~A.~Bordovitsyn, I.~M.~Ternov \paper Invariant definition of relativistic spin states in classical and quantum theories with an external field \jour TMF \yr 1984 \vol 59 \issue 2 \pages 220--223 \mathnet{http://mi.mathnet.ru/tmf4824} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=752083} \transl \jour Theoret. and Math. Phys. \yr 1984 \vol 59 \issue 2 \pages 465--467 \crossref{https://doi.org/10.1007/BF01018180} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1984TT27400005}