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arXiv · 2608.22437

A simple derivation of Anderson-Hartree equations with harmonic potential

Samaël Mackowiak
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Abstract

In this paper, we show how to adapt a derivation of Hartree equations due to Knowles and Pickl in the case where the one-particle hamiltonian is an Anderson-Hermite operator in dimension 1 and 2 or a formal Anderson-Hermite operator in dimension 3. By proving energy estimates for solution of the limit equation, uniform in the noise in bounded sets, we achieve a double limit. Namely, we show that we can commute the mean-field limit with a limit in noise.

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Samaël Mackowiak. 2026-08-23. A simple derivation of Anderson-Hartree equations with harmonic potential. https://arxiv.org/abs/2608.22437

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