Dirac States Of An Electron In A Circular Intense Magnetic Field

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 similar to 10(7). In this context, particles are forced to travel almost along the magnetic field with very small gyromotion, 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, which we call quantum curvature or synchrocurvature radiation, in an upcoming paper.