A Generalization of Weyl's Asymptotic Formula for the Relative Trace of Singular Potentials

Jakob Ullmann

By Weyl's asymptotic formula, for any potential $V$ whose negative part $V_{-}$ is an $L^{1+d/2}$-function, \begin{align*} \operatorname{Tr} [-h^2 Δ+ V]_- &= L_d^{\mathrm{cl}} h^{-d}…