Eigenstates with Infinite Position Moments
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911658044030976 |
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| author | Jex, Michal |
| author_facet | Jex, Michal |
| contents | We prove necessary and sufficient conditions for the Schrödinger operators to have zero-energy bound states at the threshold of the essential spectrum such that they have bounded $k$-th moment. This result is the extension of the results published in D. Hundertmark, M. Jex, and M. Lange [Forum Mathematics, Sigma 11(2023)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06504 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Eigenstates with Infinite Position Moments Jex, Michal Mathematical Physics 81Q05 (primary), 47B25 We prove necessary and sufficient conditions for the Schrödinger operators to have zero-energy bound states at the threshold of the essential spectrum such that they have bounded $k$-th moment. This result is the extension of the results published in D. Hundertmark, M. Jex, and M. Lange [Forum Mathematics, Sigma 11(2023)]. |
| title | Eigenstates with Infinite Position Moments |
| topic | Mathematical Physics 81Q05 (primary), 47B25 |
| url | https://arxiv.org/abs/2605.06504 |