caa a22 4500 445865717 CHVBK 20180317145457.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1140/epjd/e2011-10690-6 doi (NATIONALLICENCE)springer-10.1140/epjd/e2011-10690-6 Explicit spheroidal wave functions of the hydrogen atom [Elektronische Daten] [T. Kereselidze, Z. Machavariani, G. Chkadua] 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, SIF, Springer-Verlag Berlin Heidelberg, 2011 Kereselidze T. Department of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Avenue 3, 0128, Tbilisi, Georgia aut Machavariani Z. Department of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Avenue 3, 0128, Tbilisi, Georgia aut Chkadua G. Department of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Avenue 3, 0128, Tbilisi, Georgia aut The European Physical Journal D Springer-Verlag 63/1(2011-06-01), 81-87 1434-6060 63:1<81 2011 63 10053 https://doi.org/10.1140/epjd/e2011-10690-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2011-10690-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kereselidze T. Department of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Avenue 3, 0128, Tbilisi, Georgia aut NATIONALLICENCE 700 1- Machavariani Z. Department of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Avenue 3, 0128, Tbilisi, Georgia aut NATIONALLICENCE 700 1- Chkadua G. Department of Exact and Natural Sciences, Tbilisi State University, Chavchavadze Avenue 3, 0128, Tbilisi, Georgia aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 63/1(2011-06-01), 81-87 1434-6060 63:1<81 2011 63 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer