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arXiv · 1712.01366

Resolvent Estimates for the 3D Schr\"odinger Operator with Inverse-Square Potential

Alexander Adam Azzam
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Abstract

We consider the unitary group for the Schr\"odinger operator with inverse-square potential. We adapt Combes-Thomas estimates to show that, when restricted to non-radial functions, the operator enjoys much better estimates that mirror those of the Laplacian.

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Alexander Adam Azzam. 2017-12-04. Resolvent Estimates for the 3D Schr\"odinger Operator with Inverse-Square Potential. https://arxiv.org/abs/1712.01366

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