Mean-Field Approximation of Quantum Systems and Classical Limit

Sandro Graffi , Andre' Martinez , Mario Pulvirenti

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classification 🧮 math-ph math.MP

keywords classicalapproximationequationlimitmean-fieldquantumhartreenonlinear

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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.

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Mean-Field Approximation of Quantum Systems and Classical Limit

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