The limiting absorption principle for massless Dirac operators, properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators

Alan Carey, Fritz Gesztesy, Galina Levitina +3

We derive a limiting absorption principle on any compact interval in $\mathbb{R}\backslash \{0\}$ for the free massless Dirac operator, $H_0=\alpha \cdot (-i\nabla )$ in $[L^2(\mathbb…