27 citations · 80 across the 22 of their papers we have counts for
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Generalization of the hypervirial and Feynman-Hellman theorems
Teimuraz Nadareishvili, Anzor Khelashvili
Using well-known methods we generalize (hyper)virial theorems to case of singular potential. Discussion is carried on for most general second order differential equation, which inv…
Delta-like singularity in the Radial Laplace Operator and the Status of the 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…
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.