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Zbl 0948.81659
Salesi, Giovanni; Recami, Erasmo
Effects of spin on the cyclotron frequency for a Dirac electron.
(English)
[J] Phys. Lett., A 267, No.4, 219-224 (2000). ISSN 0375-9601

Summary: The Barut-Zanghi theory - that constitutes a natural classical limit' of the Dirac theory and can be regarded to be a satisfactory picture of a classical spinning electron - has been analytically studied in some previous papers of ours in the case of free particles. By contrast, in this letter we consider the case of external fields, and a previously found equation of motion is generalized for a non-free spin-{1}/{2} particle. In the important case of a spinning charge in a uniform magnetic field, we find that its angular frequency (around the magnetic field direction) is slightly different from the classical cyclotron frequency' $\omega\equiv eH/m$ expected for spinless charges. As a matter of fact, the angular frequency does depend on the spin orientation. As a consequence, the electrons with magnetic moment $\mu$ parallel to the magnetic field do rotate with a frequency greater than that of electrons endowed with a $\mu$ antiparallel to $H$.
MSC 2000:
*81V10 Electromagnetic interaction
78A99 Miscellaneous topics in optics and electromagnetic theory

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