02-234 S. Graffi, A. Martinez, M.Pulvirenti

Mean-Field Approximation of Quantum Systems and Classical Limit (34K, AMS-tex) May 22, 02

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Abstract. We prove that, for a smooth two-body potentials, the quantum mean-field approximation to the nonlinear Schr\"odinger equation of the Hartree type is stable at the classical limit $h \to 0$, yielding the classical Vlasov equation.

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