改进了2D吸引玻色气体的稳定性
Improved stability for 2D attractive Bose gases
摘要：
研究了平面内N个吸引玻色子的基态能量。相互作用是按比例的气体是稀释的，因此相应的平均场问题是一个局部非线性薛定谔（NLS）方程。我们改进了证明多体问题稳定的条件。这意味着，使用以前的结果，多体基态和动力学收敛到NLS的稀释度参数的扩展范围。
英文摘要：
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{ö}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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