Mean-Field Approximation of Quantum Systems and Classical Limit
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We prove that, for a smooth two-body potentials, the quantum mean-field approximation to the nonlinear Schroedinger equation of the Hartree type is stable at the classical limit h \to 0, yielding the classical Vlasov equation.
Cite
@article{arxiv.math-ph/0205033,
title = {Mean-Field Approximation of Quantum Systems and Classical Limit},
author = {Sandro Graffi and Andre' Martinez and Mario Pulvirenti},
journal= {arXiv preprint arXiv:math-ph/0205033},
year = {2007}
}