Unexpected Delta-Function Term in the Radial Schrodinger Equation

2010/02/05 by Anzor A. Khelashvili, Khelashvili, Anzor A., Teimuraz P. Nadareishvili +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1002.1278

5 pages

arxiv created 2010/05/19 · arxiv updated 2010/05/21

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.

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