New solutions of relativistic wave equations in magnetic fields and longitudinal fields
Oct, 2001
33 pages
Published in:
- J.Math.Phys. 43 (2002) 2284-2305
e-Print:
- hep-th/0110037 [hep-th]
DOI:
Report number:
- IF-1525-2001,
- IFUSP-1525-2001
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Abstract:
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.- field equations: solution
- relativistic
- electromagnetic field: external field
- coherent state
- differential equations: linear
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