P. Gross et al., AN EFFICIENT METHOD FOR DETERMINING QUANTUM DYNAMICS IN STRONG FIELDSBY INTEGRATING THROUGH AMPLITUDE AND FREQUENCY PARAMETER SPACE, Chemical physics letters, 236(1-2), 1995, pp. 8-14
A new method which computes the dynamics of molecular systems under th
e influence of a strong field is presented. Eigenvalues and eigenfunct
ions of the time-dependent Schrodinger equation are obtained and integ
rated over a range of field amplitudes and frequencies, and the evolut
ion of the wavefunction is determined using Floquet formalism. With th
is method, it is possible to predict the wavefunction dynamics for an
arbitrary range of field intensities and wavelengths by solving the ti
me-dependent Schrodinger equation only once or, in some cases, by not
solving it at all, even though the field intensities are well within t
he nonperturbative regime. Large savings in computational time are dem
onstrated in application of the method to vibrational excitation of hy
drogen fluoride.