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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.20043 |
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| _version_ | 1866915511330144256 |
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| author | Gautier, Raphaël |
| author_facet | Gautier, Raphaël |
| contents | We provide a rigorous derivation of the Landau-Pekar equations from the Fröhlich Hamiltonian in the mean-field limit using Wigner measure techniques. On the classical side, we extend the global well-posedness results up to $L^2 \oplus L^2$. For obtaining the classical limit, we make a crucial use on the quantum side of the Gross transform, allowing us to study the system on the energy space, and with no ultraviolet cutoff. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20043 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wigner measure approach to the derivation of the Landau-Pekar equations in the mean-field limit Gautier, Raphaël Mathematical Physics Analysis of PDEs We provide a rigorous derivation of the Landau-Pekar equations from the Fröhlich Hamiltonian in the mean-field limit using Wigner measure techniques. On the classical side, we extend the global well-posedness results up to $L^2 \oplus L^2$. For obtaining the classical limit, we make a crucial use on the quantum side of the Gross transform, allowing us to study the system on the energy space, and with no ultraviolet cutoff. |
| title | Wigner measure approach to the derivation of the Landau-Pekar equations in the mean-field limit |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2509.20043 |