Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms
Koch, V
Andrae, Dirk
static dipole polarizability for
non-relativistic hydrogen-like atom
excited bound states
generalized Laguerre polynomials
confluent
hypergeometric functions
Appell function F2
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.
SPRINGER
2005
info:eu-repo/semantics/article
doc-type:article
text
https://pub.uni-bielefeld.de/record/1601918
Koch V, Andrae D. Discrete contributions to static dipole polarizabilities of excited bound states of non-relativistic hydrogen-like atoms. <em>THEORETICAL CHEMISTRY ACCOUNTS</em>. 2005;114(4-5):380-386.
eng
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00214-005-0691-7
info:eu-repo/semantics/altIdentifier/issn/1432-881X
info:eu-repo/semantics/altIdentifier/issn/1432-2234
info:eu-repo/semantics/altIdentifier/wos/000232500500016
info:eu-repo/semantics/closedAccess