PUB - Publikationen an der Universität Bielefeld

The static dipole polarizability alpha(d, i) for an arbitrary bound state i of the non- relativistic hydrogen- like atom has been known for a long time from, e. g., the second- order perturbation theory treatment of the Stark effect. A reliable result for the ground state requires both summation over the discrete spectrum and inclusion of the continuum contribution. This continuum contribution is known to decrease for excited states, but a systematic study of this decrease has not been available so far. We present here representative results from a systematic study of alpha(d, i), whichwas performed as a first test of a new algorithm for the radial integrals involved. Partial sum approximations of the discrete contribution yield the total ad, i with a relative error of less than 1% for all states i with principal quantum number n >= 5. Corresponding results for the relativistic case, for which the radial integral algorithm was developed, will be presented elsewhere.