论文标题

具有罗宾边界条件的一维Schrödinger操作员的基本差距

The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions

论文作者

Andrews, Ben, Clutterbuck, Julie, Hauer, Daniel

论文摘要

对于Schrödinger算子,在具有凸面或对称单孔电位的间隔内以及Robin或Neumann边界条件下,当电势恒定时,将两个最低特征值之间的差距最小化。我们也有$ p $ -laplacian的结果。

For Schrödinger operators on an interval with either convex or symmetric single-well potentials, and Robin or Neumann boundary conditions, the gap between the two lowest eigenvalues is minimised when the potential is constant. We also have results for the $p$-Laplacian.

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