Exact Solutions for Compact Support Parabolic and Landau Barriers

Published 10 Jan 2026 in quant-ph and math-ph | (2601.06369v1)

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

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