Wave Functions for the Hydrogen Atom in Spheroidal Coordinates I: The Derivation and Properties of the Functions

1 May 1958

journal article
Published by IOP Publishing in Proceedings of the Physical Society

Vol. 71 (5) , 815-827
https://doi.org/10.1088/0370-1328/71/5/312

Abstract

The Schrodinger equation is set up for the hydrogen atom using spheroidal coordinates with the nucleus at one focus, and it is solved as completely as possible. An expression is obtained for the wave function in a general excited state, and orthogonality properties are proved. Relations are investigated between spheroidal, spherical polar and parabolic wave functions.

Keywords

This publication has 5 references indexed in Scilit:

The Two Centre Problem in Wave Mechanics
Mathematical Proceedings of the Cambridge Philosophical Society, 1935
Zur Theorie des Wasserstoffmolekülions
The European Physical Journal A, 1934
Über die Elektronenterme des Wasserstoffmoleküls
The European Physical Journal A, 1931
A generalised spheroidal wave equation
Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1928
Quantisierung als Eigenwertproblem
Annalen der Physik, 1926