Exact Solutions for Compactly Supported Parabolic and Landau Barriers
Quantum Physics
2026-01-29 v2 Mathematical Physics
math.MP
Abstract
We derive exact solutions to the one-dimensional Schr\"odinger equation for compact support parabolic and hyperbolic secant potential barriers, along with combinations of these types of potential barriers. We give the expressions for transmission and reflection coefficients and calculate some dwell times of interest.
Keywords
Cite
@article{arxiv.2601.06369,
title = {Exact Solutions for Compactly Supported Parabolic and Landau Barriers},
author = {Peter Collas and David Klein},
journal= {arXiv preprint arXiv:2601.06369},
year = {2026}
}
Comments
27 pages, 9 figures