V. M. Tkachuk, S. I. Vakarchuk
Ivan Franko National University of Lviv,
Department for Theoretical Physics,
12 Drahomanov Str., Lviv, UA--79005, Ukraine
We consider the motion of the electron in the plane perpendicular to the axially-symmetric magnetic field. Using supersymmetric method the quasi-exactly solvable magnetic field with explicitly known wave functions for zero and one excited energy levels is found.
PACS number(s): 03.65.-w, 11.30.Pb