Solutions of relativistic wave equations in superpositions of Aharonov-Bohm, magnetic, and electric fields
V.G. Bagrov (U. of Tomsk), D.M. Gitman (U. of Sao Paulo), V.B., Tlyachev (U. of Tomsk)
TL;DR
This paper derives new exact solutions to relativistic wave equations in combined Aharonov-Bohm, electric, and magnetic fields, aiding the study of quantum effects in complex electromagnetic configurations.
Contribution
It provides novel exact solutions for Klein-Gordon and Dirac equations in combined electromagnetic fields, expanding analytical tools for quantum field analysis.
Findings
Exact solutions in 3+1 and 2+1 dimensions
Applicable to various combined electromagnetic field configurations
Facilitates study of Aharonov-Bohm effect in complex fields
Abstract
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.
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Taxonomy
TopicsGyrotron and Vacuum Electronics Research · Quantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems