The hydrogen atom according to wave mechanics - IV. spheroconical coordinates

Abstract

In this fourth of five parts in a series, the Schroedinger equation is solved in spheroconical coordinates to yield amplitude functions that enable accurate plots of their surfaces to illustrate the variation of shapes and sizes with quantum numbers k, l, κ, for comparison with the corresponding plots of amplitude functions in coordinates of other systems. These amplitude functions directly derived have the unique feature of being prospectively only real, with no imaginary part.