We investigate the resonant interaction of a dipolar j=0 <---->-j=1 an
gular-momentum transition with the quantized field in a dielectric sph
ere. New features arise account of the degeneracy of atomic levels and
field modes with low azimuthal angular momentum, in slightly deformed
spheres (oblate spheroids). For TE-mode excitation we obtain the dyna
mics of a degenerate Lambda or V configuration with the usual coherent
-state collapse and revivals. For TM-mode excitation new behavior is f
ound: due to interference between sigma- and pi-polarizsii transitions
, which can be controlled by the atomic position and/or dipole orienta
tion, coherent-state revivals and the corresponding atom-field energy
exchange may be suppressed or delayed.