Solution of the 1d Schr\"odinger Equation for a Symmetric Well
Quantum Physics
2019-05-15 v1
Abstract
We suggest a mathematical potential well with spherical symmetry and apply to the 1d Schr\"odinger equation. We use some well-known techniques as Stationary Perturbation Theory and WKB to gain insight into the solutions and compare them to each other. Finally, we solve the 1d Schr\"odinger equation using a numerical approach with the so-called Numerov technique for comparison. It can be a good exercise for undergrad students to grasp the above-cited techniques in a quantum mechanics course.
Keywords
Cite
@article{arxiv.1905.05309,
title = {Solution of the 1d Schr\"odinger Equation for a Symmetric Well},
author = {Lindomar Bomfim de Carvalho and Wytler Cordeiro dos Santos and Eberth de Almeida Correa},
journal= {arXiv preprint arXiv:1905.05309},
year = {2019}
}
Comments
8 pages, 7 figures