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arxiv: 1609.06254 · v2 · pith:B5DDEUJCnew · submitted 2016-09-20 · 🧮 math-ph · math.MP

On the mean field approximation of many-boson dynamics

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keywords approximationgeneralmany-bosonanalysisassumptionscontributioncorrectdimensional
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We show under general assumptions that the mean-field approximation for quan- tum many-boson systems is correct. Our contribution unifies and improves on most of the known results. The proof uses general properties of quantization in infinite dimensional spaces, phase-space analysis and measure transportation techniques.

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