抗磁性与Robin条件和基态浓度的关系
Diamagnetism versus Robin condition and concentration of ground states
摘要：
我们估计的基态能量与罗宾条件的磁性拉普拉斯算子。在一个特殊的渐近极限下，我们发现磁场对基态能量的两项展开没有贡献，从而证明了Robin条件削弱了抗磁性。我们讨论了一个半经典形式的算符，证明了基态集中在最大曲率的边界点附近。
英文摘要：
We estimate the ground state energy for the magnetic Laplacian with a Robin condition. In a special asymptotic limit, we find that the magnetic field does not contribute to the two-term expansion of the ground state energy, thereby proving that the Robin condition weakens diamagnetism. We discuss a semi-classical version of the operator and prove that the ground states concentrate near the boundary points of maximal curvature.
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