Phys. Rev. 38, 501–512 (1931)The Motion of a Dirac Electron in a Magnetic FieldReceived 17 June 1931; published in the issue dated August 1931 Solutions of the Dirac wave equation representing a free electron moving in a uniform magnetic field are obtained. The functions are similar to those obtained by Landau and by Uhlenbeck and Young as solutions of the Schrödinger equation. A wave packet is constructed representing a beam of electrons passing through a slit. The results agree with the classical predictions to terms of the order of the de Broglie wave-length of the electron divided by the radius of curvature of its classical path. For experimental cases this ratio is of the order 10-8 to 10-10. Hence it is concluded that the difference between magnetic deflection measurements of e/m and other determinations cannot be explained as a quantum effect. © 1931 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRev.38.501
DOI:
10.1103/PhysRev.38.501
PACS:
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