Aspects related to quantum studies of multiphoton excitation and dissociation of diatomic molecules

We have carried out quantum‐mechanical studies of infrared multiphoton excitation and dissociation of diatomic molecules modeled by Morse oscillators. Two different aspects of such processes are investigated: one concerns quantum dynamics near a nonlinear resonance induced by an external field and calculations of the associated quasienergies and quasi‐eigen functions; and the other addresses the effects of dipole moment functions on the above‐threshold dissociation spectra, obtained by solving the time‐dependent Schrödinger equation directly using the momentum‐space Fourier–Grid method. © 1994 John Wiley & Sons, Inc.