Regularization of $1/X^2$ potential in general case of deformed space with minimal length
Quantum Physics
2018-12-18 v2
Abstract
In general case of deformed Heisenberg algebra leading to the minimal length we present a definition of the square inverse position operator. Our proposal is based on the functional analysis of the square position operator. Using this definition a particle in the field of the square inverse position potential is studied. We have obtained analytical and numerical solutions for the energy spectrum of the considerable problem in different cases of deformation function. We find that the energy spectrum slightly depends on the choice of deformation function.
Keywords
Cite
@article{arxiv.1812.03693,
title = {Regularization of $1/X^2$ potential in general case of deformed space with minimal length},
author = {M. I. Samar and V. M. Tkachuk},
journal= {arXiv preprint arXiv:1812.03693},
year = {2018}
}
Comments
This work was partly supported by the grant of the President of Ukraine for support of scientific researches of young scientists (F-75)