Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908668830679040 |
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| author | Hinrichs, Benjamin Polzer, Steffen |
| author_facet | Hinrichs, Benjamin Polzer, Steffen |
| contents | We study the behavior of a probability measure near the bottom of its support in terms of time averaged quotients of its Laplace transform. We discuss how our results are connected to both rank-one perturbation theory as well as renewal theory. We further apply our results in order to derive criteria for the existence and non-existence of ground states for a finite dimensional quantum system coupled to a bosonic field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02867 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems Hinrichs, Benjamin Polzer, Steffen Mathematical Physics Functional Analysis Probability We study the behavior of a probability measure near the bottom of its support in terms of time averaged quotients of its Laplace transform. We discuss how our results are connected to both rank-one perturbation theory as well as renewal theory. We further apply our results in order to derive criteria for the existence and non-existence of ground states for a finite dimensional quantum system coupled to a bosonic field. |
| title | Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems |
| topic | Mathematical Physics Functional Analysis Probability |
| url | https://arxiv.org/abs/2511.02867 |