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The relativistic wave equation for spin-1/2 particles in the interiorSchwarzschild solution in the presence of a uniform magnetic field is obtained.The fully relativistic regime is considered, and the energy levels occupied bythe particles are derived as functions of the magnetic field, the radius of themassive sphere and the total mass of the latter. As no assumption is made onthe relative strengths of the particles' interaction with the gravitational andmagnetic fields, the relevance of our results to the physics of the interior ofneutron stars, where both the gravitational and the magnetic fields are veryintense, is discussed.

Spin-1/2 particles under the influence of a uniform magnetic field in the interior Schwarzschild solution