Lambert W Lines and Finite Square Well Sensors
Quantum Physics
2022-10-17 v1
Abstract
The bound state energies of a 1-dimensional finite quantum square well (FSW) can be determined using a geometric method, involving a smooth mapping between two copies of the complex plane. The method allows one to identify particular strengths of the FSW at which the system can become unusually sensitive to changes in the well depth or geometry. In the present paper we explore that sensitivity, and exhibit a 3-D visualization of the solutions.
Keywords
Cite
@article{arxiv.2210.07359,
title = {Lambert W Lines and Finite Square Well Sensors},
author = {Ken Roberts and Najeh Jisrawi and J. Jeyasitharam and Shreyas Suresh and P. C. Deshmukh and S. R. Valluri},
journal= {arXiv preprint arXiv:2210.07359},
year = {2022}
}
Comments
34 pages, 11 figures, 1 table