Magnetic field effects on strong-coupling polarons in a parabolic quan
tum dot are investigated by the Landau-Pekar variational treatment. Th
e polaron binding energy and the average number of virtual phonons aro
und the electron as functions of the magnetic field strength and the e
ffective confinement length of the quantum dot are obtained in the Gau
ssian function approximation. It is shown that in the presence of magn
etic fields, the polaron binding energy increases with the enhancement
of the magnetic field strength. The magnetic field effects on the ave
rage number of virtual phonons around the electron are very small for
strong electron-LO-phonon coupling.