10-55 Ioannis Anapolitanos

Rate of convergence towards the Hartree-von Neumann limit in the mean-field regime (50K, tex) Mar 31, 10

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Abstract. In the mean-field regime we prove convergence, with explicit bounds, of $N$-particle density matrices satisfying the time-dependent von Neumann equation with factorized initial data to a product of one particle density matrices satisfying the Hartree-von Neumann equation. To prove explicit bounds we generalize techniques developed by Pickl \cite{Pi1} and Knowles-Pickl \cite{KP}.

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