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.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Quantum Mechanics and Applications
Quantum Mechanics and Non-Hermitian Physics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 10 January 2026
- Document type
- Preprint