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arXiv · 1703.05193

Dirac states of an electron in a circular intense magnetic field

Guillaume Voisin·Silvano Bonazzola·Fabrice Mottez
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Abstract

Neutron-star magnetospheres are structured by very intense magnetic fields extending from 100 to 10 5 km traveled by very energetic electrons and positrons with Lorentz factors up to $\sim$ 10 7. In this context, particles are forced to travel almost along the magnetic field with very small gyro-motion, potentially reaching the quantified regime. We describe the state of Dirac particles in a locally uniform, constant and curved magnetic field in the approximation that the Larmor radius is very small compared to the radius of curvature of the magnetic field lines. We obtain a result that admits the usual relativistic Landau states as a limit of null curvature. We will describe the radiation of these states, that we call quantum curvature or synchro-curvature radiation, in an upcoming paper.

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Guillaume Voisin, Silvano Bonazzola, Fabrice Mottez. 2017-03-15. Dirac states of an electron in a circular intense magnetic field. https://doi.org/10.1103/physrevd.95.085002

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