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Mean-field- and classical limit of many-body Schrödinger dynamics for bosons - MaRDI portal

Mean-field- and classical limit of many-body Schrödinger dynamics for bosons (Q2385027)

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Mean-field- and classical limit of many-body Schrödinger dynamics for bosons
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    Mean-field- and classical limit of many-body Schrödinger dynamics for bosons (English)
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    11 October 2007
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    The paper proposes a new proof for the convergence of the \(N\)-particle Schrödinger's dynamics of bosons towards the dynamics generated by the Hartree equation in the mean-field limit. This proof is quite different from the other ones in the literature, and it provides an approach to obtaining convergence estimates which are uniform in Planck's constant.
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    \(N\)-particle Schrödinger dynamics
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    Hartree equation
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    Vlasov equation
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