Ht. Yu et al., APPLICATION OF THE FINITE-ELEMENT METHOD TO TIME-DEPENDENT QUANTUM-MECHANICS .1. H AND HE IN A LASER FIELD, Journal of mathematical chemistry, 15(3-4), 1994, pp. 273-286
A finite element approach is described to solve the time- dependent Ha
rtree-Fock equation of atoms in the presence of time-dependent electro
magnetic fields. Time-dependent energy changes, ionization rates and h
igh order nonlinear optical polarizabilities, chi2n+1 (n greater-than-
or-equal-to 0) for the atoms H and He have been calculated. The finite
element method is shown to be easily adaptable to treat intense short
pulses and includes automatically both bound and continuum electronic
states.