Spin-1/2 particles under the influence of a uniform magnetic field in the interior Schwarzschild solution
arXiv:2111.15448 · doi:10.3390/universe7120467
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.
18+5 pages, no figures. This paper is published in the Special Issue of the Journal Universe: Feature Papers - Compact Objects
References in corpus (11)
- Magnetic White Dwarfs
- Strongly magnetized cold electron degenerate gas: Mass-radius relation of the magnetized white dwarf
- Superfluidity and Superconductivity in Neutron Stars
- Quartic oscillator potential in the γ-rigid regime of the collective geometrical model
- Delta Baryons in Neutron-Star Matter under Strong Magnetic Fields
- Limiting magnetic field for minimal deformation of a magnetised neutron star
- A fresh look at the influence of gravity on the quantum Hall effect
- Landau levels in a gravitational field: The Levi-Civita and Kerr spacetimes case
- Neutron star inner crust: effects of rotation and magnetic fields
- A simple superconductor quantum interference device for testing gravity
- Landau quantization and neutron emissions by nuclei in the crust of a magnetar