Proper time method: generation of analytic solutions of the Dirac equation with classical features
Iwo Białynicki‐Birula, Zofia Białynicka-Birula
Abstract We introduce a new method to derive solutions of the Dirac equation in external static fields that have a direct connection to classical physics. Using it, we derive new analytic solutions of the Dirac equation in a magnetic field, which reproduce the motion of relativistic classical particles. We also generalize this method to the case of crossed electric and magnetic field.
Physica Scripta•Mar 3, 2025•0 citations