https://doi.org/10.1140/epjd/e2011-10690-6
Regular Article
Explicit spheroidal wave functions of the hydrogen atom
Department of Exact and Natural Sciences, Tbilisi State
University, Chavchavadze Avenue
3, 0128
Tbilisi,
Georgia
a e-mail: tamaz.kereselidze@tsu.ge
Received:
6
December
2010
Received in final form:
20
March
2011
Published online:
9
June
2011
A simple and straightforward calculating scheme is suggested for finding wave functions of the hydrogen atom in prolate spheroidal coordinates. The wave functions are found in an explicit form by the direct solution of appropriate one-dimensional equations. The suggested calculating scheme allows us to carry out simple calculations and to obtain spheroidal wave functions in principle for arbitrary eigenstates of the hydrogen atom. Expansions are found for the obtained spheroidal wave functions over a spherical basis.
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2011
