Combined mean-field and semiclassical limits large fermionic system
By Li Chen
Appears in collection : The Analysis of Complex Quantum Systems: Large Coulomb Systems and Related Matters / Analyse des systèmes complexes: grands systèmes coulombiens et systèmes apparentés
In this talk I will present the approach that using time evolution of Husimi measure of the N particle wave function to get the convergence of Schrödinger to Vlasov equation in the mean field and semiclassical regime. By a reformulation of the many particle Schrödinger equation, one can get a Vlasov ‘like’ kinetic equation for Husimi measure. Then the convergence will be obtained by doing appropriate error estimates in comparing these two dynamics. In this first stage result, the estimates have been obtained for regular solutions. This is a joint work with Jinyeop Lee and Matthew Liew.
