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:
Report number:
  • IF-1525-2001,
  • IFUSP-1525-2001

Citations per year

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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