Ground state decay for Schrödinger operators with confining potentials
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910525059760128 |
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| author | Baraniewicz, Miłosz |
| author_facet | Baraniewicz, Miłosz |
| contents | We give two-sided estimates of a ground state for Schrödinger operators with confining potentials. We propose a semigroup approach, based on resolvent and the Feynman--Kac formula, which leads to a new, rather short and direct proof. Our results take the sharpest form for slowly varying, radial and increasing potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09267 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ground state decay for Schrödinger operators with confining potentials Baraniewicz, Miłosz Probability Mathematical Physics Functional Analysis 47D08, 60J65, 35K05, 26A12 We give two-sided estimates of a ground state for Schrödinger operators with confining potentials. We propose a semigroup approach, based on resolvent and the Feynman--Kac formula, which leads to a new, rather short and direct proof. Our results take the sharpest form for slowly varying, radial and increasing potentials. |
| title | Ground state decay for Schrödinger operators with confining potentials |
| topic | Probability Mathematical Physics Functional Analysis 47D08, 60J65, 35K05, 26A12 |
| url | https://arxiv.org/abs/2407.09267 |