Solutions of relativistic wave equations in superpositions of Aharonov-Bohm, magnetic, and electric fields

We present new exact solutions (in 3+1 and 2+1 dimensions) of relativistic wave equations (Klein-Gordon and Dirac) in external electromagnetic fields of special form. These fields are combinations of Aharonov-Bohm solenoid fi eld and some additional electric and magnetic fields. In particular, as suc h additional fields, we consider longitudinal electric and magnetic fields, some crossed fields, and some special nonuniform fields. The solutions obt ained can be useful to study the Aharonov-Bohm effect in the corresponding electromagnetic fields. (C) 2001 American Institute of Physics.