Delta-like singularity in the Radial Laplace Operator and the Status of the Radial Schrodinger Equation

Abstract

By careful exploration of separation of variables into the Laplacian in spherical coordinates, we obtain the extra delta-like singularity, elimination of which restricts the radial wave function at the origin. This constraint has the form of boundary condition for the radial Schrodinger equation.

arXiv comment8 pages

Cited by in corpus (2)

• Singular Behavior of the Laplace Operator in Polar Spherical Coordinates and Some of Its Consequences for the Radial Wave Function at the Origin of Coordinates
• Solutions of the Schrödinger equation, boundary condition at the origin, and theory of distributions