3 papers
physics.gen-ph2025
Scattering problem for the valence electron model potential
Anzor Khelashvili, Teimuraz Nadareishvili
In the paper, in the scattering problem for the valence electron model potential a self-adjoint extension is performed and Rutherford formula is modified. The scattering of slow pa…
quant-ph2024
Pragmatic Self-adjoint Procedure in the Schrodinger Equation for the Inverse Square Potential
Anzor Khelashvili, Teimuraz Nadareishvili
The self-adjoint extension (SAE) procedure is considered in the Schrodinger equation for potentials behaving as an attractive inverse square at the origin of coordinates. This appr…
quant-ph2024
Self-adjoint extension procedure for a singular oscillator
Anzor Khelashvili, Teimuraz Nadareishvili
For a singular oscillator, the Schrodinger equation is obtained an equation of eigenvalues, and the dependence of energy on the self-adjoint extension parameter is established. It…