Spectral properties of Schrödinger operators and time-decay of the wave functions. Results in \(L^ 2(R^ 4)\)
The author considers Schrödinger operators \(H=-\Delta +V\) in \(L^ 2({\mathbb{R}}^ 4)\), where \(V(x)=O(| x|^{-\beta})\) as \(| x| \to \infty\) for some \(\beta >0\). Furthermore some local singularities are permitted. He is concerned with the spectral properties of H in the low energy limit. The results are expressed in terms of asymptotic expansions for the resolvent \(R(\zeta)=(H-\zeta)^{-1}\) as \(\zeta\) \(\to 0\).
scientific article; zbMATH DE number 3899384