@article{1601918,
abstract = {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.},
author = {Koch, V and Andrae, Dirk},
issn = {1432-2234},
journal = {THEORETICAL CHEMISTRY ACCOUNTS},
keyword = {static dipole polarizability for, non-relativistic hydrogen-like atom, excited bound states, generalized Laguerre polynomials, confluent, hypergeometric functions, Appell function F2},
number = {4-5},
pages = {380--386},
publisher = {SPRINGER},
title = {{Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms}},
doi = {10.1007/s00214-005-0691-7},
volume = {114},
year = {2005},
}