A spectral shift function for Schrödinger operators with singular interactions

Jussi Behrndt, Fritz Gesztesy, Shu Nakamura

For the pair $\{-\Delta ,-\Delta -\alpha {\delta }_{\mathcal{C}}\}$ of self-adjoint Schrödinger operators in $L^2({\mathbb{R}}^n)$ a spectral shift function is determined in an explicit form with the help of (…