Improved stability for 2D attractive Bose gases

27 Jan 2020  ·  Nam Phan Thành, Rougerie Nicolas ·

We study the ground-state energy of N attractive bosons in the plane. The interaction is scaled for the gas to be dilute, so that the corresponding mean-field problem is a local non-linear Schr{\"o}dinger (NLS) equation. We improve the conditions under which one can prove that the many-body problem is stable (of the second kind). This implies, using previous results, that the many-body ground states and dynamics converge to the NLS ones for an extended range of diluteness parameters.

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Analysis of PDEs Mathematical Physics Mathematical Physics
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