Resolvent Estimates for the 3D Schr\"odinger Operator with Inverse-Square Potential
Analysis of PDEs
2017-12-06 v1
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.
Cite
@article{arxiv.1712.01366,
title = {Resolvent Estimates for the 3D Schr\"odinger Operator with Inverse-Square Potential},
author = {Alexander Adam Azzam},
journal= {arXiv preprint arXiv:1712.01366},
year = {2017}
}