TY - CHAP
AB - We outline the status of rigorous derivations of certain classical evolution equations as limits of Schrödinger dynamics. We explain two recent results jointly with H.T. Yau in more details. The first one is the derivation of the linear Boltzmann equation as the long time limit of the one-body Schrödinger equation with a random potential. The second one is the mean field limit of high density bosons with Coulomb interaction that leads to the nonlinear Hartree equation.
AU - Erdös, László
ID - 2694
SN - 9783540441113
T2 - Dynamics of Dissipation
TI - Scaling limits of Schrödinger quantum mechanics
ER -