Time evolution in the Morse potential using supersymmetry:: Dissociation of the NO molecule

W present a new algebraic method for treating molecular vibrations in the Morse potential perturbed by an external field. W introduce a discrete normalizable basis, allowing to expand the dissociated states, as well. The Morse Hamiltonian is particularly simple in this basis, and the matrix elements of a realistic molecular dipole moment operator can also be expressed analytically. As a demonstration, we apply our method to calculate the dissociation probability of the NO molecule excited by appropriate series of chirped laser pulses.