Self-adjoint extension procedure for nonrelativistic scattering problems

Author: Teimuraz Nadareishvili
Co-authors: Anzor Khelashvili
Keywords: Self-adjoint procedure, Scrodinger equation, scattering cross section
Annotation:

It is shown, that for inverse square attractive potentials at the origin in the Scrodinger equation it is necessary to keep so called additional solutions and therefore to carry out self-adjoint procedure for scattering problems. It is also shown, that physical quantities – energy, scattering length, effective scattering radios, cross section is depended on the self-adjoint parameter and therefore the physical picture is different then in usual quantum mechanics. In particular it is shown, that introduction of self-adjoint parameter can change the nature of the potential. Also for valence electron model is modified Rutherford formula.

Lecture files:

Self-adjoint extension procedure for nonrelativistic scattering problems [en]
თვითშეუღლებული გაფართოების პროცედურა გაფანტვის არარელატივისტური ამოცანებისათვის [ka]