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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.07185 |
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| _version_ | 1866909778178998272 |
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| author | Cotler, Jordan Hernández, Felipe |
| author_facet | Cotler, Jordan Hernández, Felipe |
| contents | We prove a new version of Egorov's theorem formulated in the Schrödinger picture of quantum mechanics, using the $p$-Wasserstein metric applied to the Husimi functions of quantum states. The special case $p=1$ corresponds to a "low-regularity" Egorov theorem, while larger values $p>1$ yield progressively stronger estimates. As a byproduct of our analysis, we prove an optimal transport inequality analogous to a result of Golse and Paul in the context of mean-field many-body quantum mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07185 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Egorov Theorem for Wasserstein Distances Cotler, Jordan Hernández, Felipe Quantum Physics Mathematical Physics Analysis of PDEs We prove a new version of Egorov's theorem formulated in the Schrödinger picture of quantum mechanics, using the $p$-Wasserstein metric applied to the Husimi functions of quantum states. The special case $p=1$ corresponds to a "low-regularity" Egorov theorem, while larger values $p>1$ yield progressively stronger estimates. As a byproduct of our analysis, we prove an optimal transport inequality analogous to a result of Golse and Paul in the context of mean-field many-body quantum mechanics. |
| title | An Egorov Theorem for Wasserstein Distances |
| topic | Quantum Physics Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2509.07185 |