TY - JOUR
AB - We consider the time evolution of N bosonic particles interacting via a mean field Coulomb potential. Suppose the initial state is a product wavefunction. We show that at any finite time the correlation functions factorize in the limit N → ∞. Furthermore, the limiting one particle density matrix satisfies the nonlinear Hartree equation. The key ingredients are the uniqueness of the BBGKY hierarchy for the correlation functions and a new apriori estimate for the many-body Schrödinger equations.
AU - Erdös, László
AU - Yau, Horng
ID - 2736
IS - 6
JF - Advances in Theoretical and Mathematical Physics
SN - 1095-0761
TI - Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
VL - 5
ER -