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

TL;DR

This paper derives the relativistic energy levels of spin-1/2 particles inside a neutron star-like environment with strong gravity and magnetic fields, providing insights into their quantum behavior under extreme conditions.

Contribution

It presents the first derivation of relativistic energy levels for spin-1/2 particles in the interior Schwarzschild solution with a magnetic field, without assuming interaction strength limitations.

Findings

Energy levels depend on magnetic field, radius, and mass.

Results applicable to neutron star interior physics.

Highlights the interplay of gravity and magnetic effects on particles.

Abstract

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