Quantum dynamics of photodetachment of electrons from halide ions: a time - dependent Fourier grid Hamiltonian method based study

We model the electronic states of halide ions (X-) by a one - dimensional potential V(x) = -Voe-σx2. Environmental perturbation is sought to be taken into account by introducing random fluctuations in the well depth (Vo) of the model halide ion. Dynamics of detachment of electrons from X- is followed by numerically solving the time - dependent Schroedinger equation for the model Hamiltonian H(x,t)=Px2/2m -Vo {1+ ΔV R(t)} e -σx2 - ε xsin(ωt), ε being the intensity of radiation of frequency ω, ΔV the strength of fluctuation and R(t) being either - 1 or 1 randomly. The ionization rates, thresholds and their modulation by environmental perturbations are studied. (author)