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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.20033 |
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| _version_ | 1866916967629193216 |
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| author | Gautier, Raphaël |
| author_facet | Gautier, Raphaël |
| contents | We define and study the global well-posedness of a classical polaron dynamics and its derivation from the quantum dynamics of the Fröhlich Hamiltonian from the viewpoint of Wigner measures. We make a crucial use of the Gross transform, allowing us to extract a diverging constant. Finally, we discuss the difficulty of defining the classical dynamics when removing the cutoff in our setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20033 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semiclassical limit of polaron dynamics with cutoff Gautier, Raphaël Mathematical Physics We define and study the global well-posedness of a classical polaron dynamics and its derivation from the quantum dynamics of the Fröhlich Hamiltonian from the viewpoint of Wigner measures. We make a crucial use of the Gross transform, allowing us to extract a diverging constant. Finally, we discuss the difficulty of defining the classical dynamics when removing the cutoff in our setting. |
| title | Semiclassical limit of polaron dynamics with cutoff |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2509.20033 |