27 citations · 80 across the 22 of their papers we have counts for
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What is the boundary condition for radial wave function of the Schrödinger equation ?
Anzor A. Khelashvili, Teimuraz P. Nadareishvili
There is much discussion in the mathematical physics literature as well as in quantum mechanics textbooks on spherically symmetric potentials. Nevertheless, there is no consensus a…
Delta-like singularity in the Reduction of the Laplace Equation for Spherical Coordinates and the Validity of Radial Schrodinger Equation
Anzor A. Khelashvili, Teimuraz P. Nadareishvili
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…
Status of the Radial Schrodinger Equation
Anzor A. Khelashvili, Teimuraz P. Nadareishvili
We show that equation for radial wave function in its traditional form is compatible with the full Schrodinger equation if and only if a definite additional constraint required. Th…
Unexpected Delta-Function Term in the Radial Schrodinger Equation
Anzor A. Khelashvili, Teimuraz P. Nadareishvili
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…
On the Boundary conditions for the Radial Schrodinger Equation
Anzor A. Khelashvili, Teimuraz P. Nadareishvili
Exploring the idea that equation for radial wave function must be compatible with the full Schrodinger equation, a boundary condition is derived.