The energy spectrum of an electron in a cylindrical wire with an infin
itely high barrier at the boundary and with a parabolic potential insi
de the wire is obtained. The transformation of the spectrum with incre
asing oscillator (Omega) and magnetic (omega(H)) frequencies is invest
igated. The polaron corrections arising in the electronic energy level
s and the translational effective mass as a result of the interaction
with bulk and interface modes are obtained by the perturbation-theory
method in the Wigner-Brillouin approximation, and their dependences on
the magnetic field are determined. The magnetic polaron resonance is
studied and the splitting of the resonance polaron levels is calculate
d. (C) 1996 American Institute of Physics.