The Dirac equation for a charged spin-1/2 particle with an anomalous magnetic moment μ’ in a background magnetic field is solved in Rindler coordinates (uniformly accelerated frame). A method based on the existence of a spin operator is presented, which permits us to solve the Dirac-Pauli equation in curvilinear coordinates. This is applied to the Rindler coordinates, and the spectra of conserved quantities such as the energy, particle, and spin densities are calculated. The ratio of the energy and particle densities is not given by a Fermi-Dirac distribution, except in the limit μ’→0. Furthermore, the spectrum of the energy density takes a complicated form that cannot be simply interpreted as thermal even in the zero mass limit. Finally, it is shown that, at this level of approximation, a possible effect on the spin polarization cannot arise from acceleration effects on the electron.

• Received 8 September 1992

DOI:https://doi.org/10.1103/PhysRevD.48.783