THE SOLUTION OF THE TIME-DEPENDENT SHRODINGER EQUATION BY THE (T, T')METHOD - APPLICATION TO INTENSE FIELD MOLECULAR PHOTODISSOCIATION

Using the (t, t') method as introduced by Peskin and Moiseyev the reso nance quasivibrational energies and lifetimes of a time-dependent (not necessarily time-periodic) Hamiltonian are obtained by computational methods originally developed for time-independent Hamiltonians. As an illustrative numerical example the multiphoton resonances of the disso ciating H-2(+) are calculated using three Fourier basis functions. The calculation of resonances at high intensity fields by direct methods (i.e. diagonalization of the Floquet Hamiltonian matrix or a coupled-c hannel propagative approach) requires, however, the inclusion of 10 or more Floquet channels.