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Relativistic Motion in a Magnetic Field
Phys. Rev. 77, 702 – Published 1 March, 1950
DOI: https://doi.org/10.1103/PhysRev.77.702
Abstract
A simple integral of the relativistic equations of motion for a charge in a magnetic field is used to reduce the Dirac equations to two simultaneous first-order differential equations. Eigenstates of this integral are the basis for a treatment of degeneracy and, in the case of a homogeneous field, for the construction of energy eigenfunctions from non-relativistic solutions. For a free particle the same integral leads directly to the only possible energy states with exactly defined spin projections.
References (3)
- M. H. Johnson and B. A. Lippmann, Phys. Rev. 76, 828 (1949)
Omitted endnote
- A. Sommerfeld's, Wellenmechanik (Frederick Ungar Publishing Company), p. 330 ff