Unexpected Delta-Function Term in the Radial Schrodinger Equation

Details Unexpected Delta-Function Term in the Radial Schrodinger Equation Unexpected Delta-Function Term in the Radial Schrodinger Equation

2010-02-05

arxiv.org/abs/1002.1278v6

Physics

Mathematical Physics

5 pages

Scientific paper

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.

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