Delta-like singularity in the Reduction of the Laplace Equation for Spherical Coordinates and the Validity of Radial Schrodinger Equation

Details Delta-like singularity in the Reduction of the Laplace Equation for Spherical Coordinates and the Validity of Radial Schrodinger Equation Delta-like singularity in the Reduction of the Laplace Equation for Spherical Coordinates and the Validity of Radial Schrodinger Equation

2010-07-31

arxiv.org/abs/1008.0086v1

Physics

Mathematical Physics

7 pages

Scientific paper

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.

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