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Quantum State Preparation Representation

Exact Solutions for Compactly Supported Parabolic and Landau Barriers

arXiv
Authors: Peter Collas, David Klein

Year

2026

Paper ID

4009

Status

Preprint

Abstract Read

~2 min

Abstract Words

44

Citations

N/A

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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  • We derive exact solutions to the one-dimensional Schrödinger equation for compact support parabolic and hyperbolic secant potential barriers, along with combinations of these...

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