Multi-dimensional Schrödinger operators with some negative spectrum (Q2504370)

This paper discusses some spectral properties on \(L^2(R^d)\) of the Schrödinger operators \(-\Delta+V\) where \(V\in L^{\infty}(R^d)\). The author gives some sufficient conditions on \(V\) which guarantee that the absolutely continuous spectrum of the operators \(-\Delta+V\) and \(-\Delta-V\) are essentially supported by \([0, \infty)\). Which means that the spectral projection associated to any subset of positive Lebesgue measure is not zero.