2002/01/10 by В. Г. Багров, V. G. Bagrov, Bagrov, V. G. +5
Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0201068
39 pages, LaTex file
arxiv created 2002/01/10 · openalex publication_date 2002/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 field and some additional electric and magnetic fields. In particular, as such additional fields, we consider longitudinal electric and magnetic fields, some crossed fields, and some special non-uniform fields. The solutions obtained can be useful to study Aharonov-Bohm effect in the corresponding electromagnetic fields.