Mean-Field Approximation of Quantum Systems and Classical Limit

Details Mean-Field Approximation of Quantum Systems and Classical Limit Mean-Field Approximation of Quantum Systems and Classical Limit

2002-05-22

arxiv.org/abs/math-ph/0205033v1

Physics

Mathematical Physics

Scientific paper

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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