no code implementations • 9 Mar 2021 • Xiaoqi Huang, Cheng Zhang
We consider the Schr\"odinger operators $H_V=-\Delta_g+V$ with singular potentials $V$ on general $n$-dimensional Riemannian manifolds and study whether various forms of pointwise Weyl law remain valid under this pertubation.
Analysis of PDEs Mathematical Physics Classical Analysis and ODEs Functional Analysis Mathematical Physics Spectral Theory 58J50, 35P15