Exponentially confining potential well
Quantum Physics
2021-10-13 v2
Abstract
We introduce an exponentially confining potential well that could be used as a model to describe the structure of a strongly localized system. We obtain an approximate partial solution of the Schr\"odinger equation with this potential well where we find the lowest energy spectrum and corresponding wavefunctions. The Tridiagonal Representation Approach (TRA) is used as the method of solution, which is obtained as a finite series of square integrable functions written in terms of the Bessel polynomial.
Keywords
Cite
@article{arxiv.2005.09080,
title = {Exponentially confining potential well},
author = {A. D. Alhaidari},
journal= {arXiv preprint arXiv:2005.09080},
year = {2021}
}
Comments
Two new tables and a new appendix has been added. Figures were improved. Acknowledgement was also added. Dedicated to the memory of my friend, colleague and collaborator, the late Mohammed S. Abdelmonem