Wigner measure and the semi-classical limit of Schrodinger-Poisson equations

Ping Zhang   (Penn State)
In this talk, I am going to use Wigner measure to study the semi-classical limit of Schrodinger-Poisson equations. I prove the the limit of the density and momentum to the Schrodinger-Poisson equations satisfy the pressureless Euler-Poisson equation before the formation of vortices.