The method of numerical simulation is employed to investigate the diss
ociation dynamics of elementary molecular systems (H-2(+) and D-2(+) i
ons) in an intense infrared laser field. The approximation of n terms
is developed for the description of the dynamics of a molecular system
in a strong electromagnetic field. The results of calculations carrie
d out within the framework of the approximation of n terms are compare
d with the results of the exact numerical solution of the relevant two
-body problem. The dependence of the dissociation probability on radia
tion intensity and frequency is discussed. A quasi-static model is pro
posed for the dissociation of molecules in an infrared field. This mod
el employs the basis of field-dressed states. It is demonstrated that
the quasi-static model provides a physical explanation for the depende
nce of the dissociation probability on the intensity and frequency of
laser radiation.