में बचाया:
| मुख्य लेखकों: | , |
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| स्वरूप: | Preprint |
| प्रकाशित: |
2016
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| विषय: | |
| ऑनलाइन पहुंच: | https://arxiv.org/abs/1601.05272 |
| टैग: |
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| _version_ | 1866912932667850752 |
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| author | Anapolitanos, Ioannis Hott, Michael |
| author_facet | Anapolitanos, Ioannis Hott, Michael |
| contents | In this article, we prove that the ground-state energy of a fermionic Fröhlich multipolaron can be approximated, in the strong electron-phonon coupling limit, by the ground-state energy of a corresponding fermionic Pekar-Tomasevich multipolaron, even in the presence of external electric and magnetic fields. Our analysis builds upon Lieb and Thomas' approach \cite{liebthomas}, which was originally developed for a single polaron without external fields, and Wellig's generalization to multipolarons \cite{wellig} with (specialized) external fields. Our main new contributions are twofold. First, we take into account the fermionic statistics of the multipolaron by employing a localization method from \cite{liebloss}. Second, we relax an assumption in \cite{wellig} on the external electric and magnetic fields, which is not easily verifiable unless the fields are periodic. Instead, we allow for general fields that only ensure self-adjointness of the Fröhlich Hamiltonian. In particular, our work demonstrates the robustness of the Lieb--Thomas strategy when extended to fermionic multipolarons and general external potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1601_05272 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | The Lieb--Thomas strategy for strongly coupled fermionic multipolarons with general external fields Anapolitanos, Ioannis Hott, Michael Mathematical Physics In this article, we prove that the ground-state energy of a fermionic Fröhlich multipolaron can be approximated, in the strong electron-phonon coupling limit, by the ground-state energy of a corresponding fermionic Pekar-Tomasevich multipolaron, even in the presence of external electric and magnetic fields. Our analysis builds upon Lieb and Thomas' approach \cite{liebthomas}, which was originally developed for a single polaron without external fields, and Wellig's generalization to multipolarons \cite{wellig} with (specialized) external fields. Our main new contributions are twofold. First, we take into account the fermionic statistics of the multipolaron by employing a localization method from \cite{liebloss}. Second, we relax an assumption in \cite{wellig} on the external electric and magnetic fields, which is not easily verifiable unless the fields are periodic. Instead, we allow for general fields that only ensure self-adjointness of the Fröhlich Hamiltonian. In particular, our work demonstrates the robustness of the Lieb--Thomas strategy when extended to fermionic multipolarons and general external potentials. |
| title | The Lieb--Thomas strategy for strongly coupled fermionic multipolarons with general external fields |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/1601.05272 |