Motion of wave-packets using the smooth-exterior-scaling complex potential

The motion of a Gaussian wave-packet is studied when absorbing complex potentials are added to the Hamiltonian in order to avoid the non-physical reflections which are obtained due to the use of a finite grid in numerical calculations. It is shown that the complex local potentials which were recently derived by the smooth-exterior-scaling (SES) method avoid reflections from the artificial potential walls. It is found that the SES complex potential is much more stable with respect to change in the kinetic energy of the wave-packet than other commonly used monomial local absorbing potentials. This is relevant to the study of dynamics in atomic, molecular or nuclear systems when there are several dominant open decay channels.