Semiclassical asymptotics for a class of singular Schrödinger operators (Q2055108)

Summary: Let \(\Omega\subset\mathbb{R}^d\) be bounded with \(C^1\) boundary. In this paper we consider Schrödinger operators \(-\Delta+ W\) on \(\Omega\) with \(W(x\approx\mathrm{dist}(x,\partial\Omega)^{-2}\) as \(\mathrm{dist}(x,\partial\Omega)\to 0\). Under weak assumptions on \(W\) we derive a two-term asymptotic formula for the sum of the eigenvalues of such operators. For the entire collection see [Zbl 1465.35005].