Derivation of the Vlasov equation from many-body quantum dynamics
Duration: 51 mins 9 secs
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About this item
| Description: |
Chiara Saffirio, Universität Basel
12 January 2022 – 11:20 to 12:20 |
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| Created: | 2022-01-12 16:40 |
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| Collection: | Frontiers in analysis of kinetic equations |
| Publisher: | Isaac Newton Institute |
| Copyright: | Chiara Saffirio |
| Language: | eng (English) |
| Abstract: | We will consider the many-body evolution of initially confined fermions interacting through a singular potential.
In a joint mean-field and semiclassical scaling and using second quantization techniques, we will show that, for mixed states enjoying a semiclassical structure, the many-body dynamics can be approximated in Schatten norms by the time-dependent Hartree-Fock equation. Moreover, in the semiclassical limit, the dynamics is close to the one described by the Vlasov equation with singular interactions, thus providing a two-step approximation of the many-body evolution. The method used provides explicit bounds on the convergence rate. Based on joint works with J. Chong and L. Laflèche. |
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