Magnetic and electric dipole two-photon absorption (MED-TPA), recently
introduced as a spectroscopic technique for studying transitions betw
een states of opposite parities, is investigated from a theoretical po
int of view. An approximation referred to as weak quasiclosure approxi
mation is used together with symmetry adaptation techniques to calcula
te the transition amplitude between states having well-defined symmetr
y properties. Selection rules for MED-TPA are derived and compared to
selection rules for parity-forbidden electric dipole two-photon absorp
tion.