Quantum Systems at The Brink
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910657434091520 |
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| author | Hundertmark, Dirk Jex, Michal Lange, Markus |
| author_facet | Hundertmark, Dirk Jex, Michal Lange, Markus |
| contents | We present a method to calculate the asymptotic behavior of eigenfunctions of Schrödinger operators that also works at the threshold of the essential spectrum. It can be viewed as a higher order correction to the well-known WKB method which does need a safety distance to the essential spectrum. We illustrate its usefulness on examples of quantum particles in a potential well with a long-range repulsive term outside the well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_16356 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quantum Systems at The Brink Hundertmark, Dirk Jex, Michal Lange, Markus Mathematical Physics 81Q05, 35Q40, 81V45 We present a method to calculate the asymptotic behavior of eigenfunctions of Schrödinger operators that also works at the threshold of the essential spectrum. It can be viewed as a higher order correction to the well-known WKB method which does need a safety distance to the essential spectrum. We illustrate its usefulness on examples of quantum particles in a potential well with a long-range repulsive term outside the well. |
| title | Quantum Systems at The Brink |
| topic | Mathematical Physics 81Q05, 35Q40, 81V45 |
| url | https://arxiv.org/abs/2210.16356 |