Spin-1/2 particles under the influence of a uniform magnetic field in
the interior Schwarzschild solution
- URL: http://arxiv.org/abs/2111.15448v1
- Date: Tue, 30 Nov 2021 14:46:00 GMT
- Title: Spin-1/2 particles under the influence of a uniform magnetic field in
the interior Schwarzschild solution
- Authors: Fay\c{c}al Hammad, Alexandre Landry, Parvaneh Sadeghi
- Abstract summary: relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained.
Results are relevant to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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