Unexpected Delta-Function Term in the Radial Schrodinger Equation
Mathematical Physics
2010-05-21 v6 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Careful exploration of the idea that equation for radial wave function must be compatible with the full Schrodinger equation shows appearance of the delta-function while reduction of full Schrodinger equation in spherical coordinates. Elimination of this extra term produces a boundary condition for the radial wave function, which is the same both for regular and singular potentials.
Cite
@article{arxiv.1002.1278,
title = {Unexpected Delta-Function Term in the Radial Schrodinger Equation},
author = {Anzor A. Khelashvili and Teimuraz P. Nadareishvili},
journal= {arXiv preprint arXiv:1002.1278},
year = {2010}
}
Comments
5 pages