On the spectral gap of one-dimensional Schrödinger operators on large intervals
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866916464975413248 |
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| author | Kerner, Joachim Täufer, Matthias |
| author_facet | Kerner, Joachim Täufer, Matthias |
| contents | We study the effect of non-negative potentials on the spectral gap of one-dimensional Schrödinger operators in the limit of large intervals. In particular, we derive upper and lower bounds on the gap for different classes of potentials which characterize its asymptotic behaviour. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_09060 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the spectral gap of one-dimensional Schrödinger operators on large intervals Kerner, Joachim Täufer, Matthias Spectral Theory Mathematical Physics 34L15, 34L40, 47E05, 47A10, We study the effect of non-negative potentials on the spectral gap of one-dimensional Schrödinger operators in the limit of large intervals. In particular, we derive upper and lower bounds on the gap for different classes of potentials which characterize its asymptotic behaviour. |
| title | On the spectral gap of one-dimensional Schrödinger operators on large intervals |
| topic | Spectral Theory Mathematical Physics 34L15, 34L40, 47E05, 47A10, |
| url | https://arxiv.org/abs/2012.09060 |