New solutions of relativistic wave equations in magnetic fields and longitudinal fields

Details New solutions of relativistic wave equations in magnetic fields and longitudinal fields New solutions of relativistic wave equations in magnetic fields and longitudinal fields

2001-10-03

arxiv.org/abs/hep-th/0110037v3

J.Math.Phys. 43 (2002) 2284-2305

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTex file

Scientific paper

10.1063/1.1461428

We demonstrate how one can describe explicitly the present arbitrariness in solutions of relativistic wave equations in external electromagnetic fields of special form. This arbitrariness is connected to the existence of a transformation, which reduces effectively the number of variables in the initial equations. Then we use the corresponding representations to construct new sets of exact solutions, which may have a physical interest. Namely, we present new sets of stationary and nonstationary solutions in magnetic field and in some superpositions of electric and magnetic fields.

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