Exact Solutions for Compactly Supported Parabolic and Landau Barriers
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911403430903808 |
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| author | Collas, Peter Klein, David |
| author_facet | Collas, Peter Klein, David |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06369 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exact Solutions for Compactly Supported Parabolic and Landau Barriers Collas, Peter Klein, David Quantum Physics Mathematical Physics 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. |
| title | Exact Solutions for Compactly Supported Parabolic and Landau Barriers |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2601.06369 |