Exact Solutions for Compactly Supported Parabolic and Landau Quantum Barriers

Abstract:We derive exact solutions to the one-dimensional Schrödinger 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.

arXiv:2601.06369 [quant-ph]

(or arXiv:2601.06369v3 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2601.06369 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1007/s10773-026-06448-5 Focus to learn more DOI(s) linking to related resources

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