![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Chiara Saffirio (Universität Basel)
Wednesday 12 January 2022, 11:20-12:20
Derivation of the Vlasov equation from many-body quantum dynamics
- 👤 Speaker: Chiara Saffirio (Universität Basel)
- 📅 Date & Time: Wednesday 12 January 2022, 11:20 - 12:20
- 📍 Venue: Seminar Room 1, Newton Institute
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
Included in Lists
- All CMS events
- bld31
- dh539
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
Note: Ex-directory lists are not shown.