The quantum Gaussian well
Quantum Physics
2015-05-20 v1
Abstract
Different features of a potential in the form of a Gaussian well have been discussed extensively. Although the details of the calculation are involved, the general approach uses a variational method and WKB approximation, techniques which should be familiar to advanced undergraduates. A numerical solution of the Schr\"odinger equation through diagonalization has been developed in a self-contained way, and physical applications of the potential are mentioned.
Keywords
Cite
@article{arxiv.1011.3637,
title = {The quantum Gaussian well},
author = {Saikat Nandi},
journal= {arXiv preprint arXiv:1011.3637},
year = {2015}
}
Comments
11 pages, 4 figures, To be published in American Journal of Physics