Semiclassical asymptotics for a class of singular Schrödinger operators
Let $Ω\subset \mathbb{R}^d$ be bounded with $C^1$ boundary. In this paper we consider Schrödinger operators $-Δ+ W$ on $Ω$ with $W(x)\approx\mathrm{dist}(x, \partialΩ)^{-2}$ as $\mathrm{dist}(x, \partialΩ)\to 0$. Under weak assumptions on $W$ we derive a two-term asymptotic formula for the sum of th...
Main Authors: | , |
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Format: | Article in Journal/Newspaper |
Language: | unknown |
Published: |
arXiv
2020
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Subjects: | |
Online Access: | https://dx.doi.org/10.48550/arxiv.2010.05417 https://arxiv.org/abs/2010.05417 |