Dispersive estimates for Schrödinger operators lie at the heart of contemporary analysis in quantum mechanics and partial differential equations. These estimates characterise the decay of solutions ...

The study of Schrödinger operators within the framework of functional analysis has led to significant advances in our understanding of differential operators and their associated function spaces. In ...

This is a preview. Log in through your library . Abstract Abstract. We study a positivity preservation property for Schrödinger operators with singular potential on geodesically complete Riemannian ...

The general subject of the talk is spectral theory of discrete (tight-binding) Schrodinger operators on $d$-dimensional lattices. For operators with periodic ...

The error estimate of the integral kernel for the Trotter product formula for Schrodinger operators is shown. A basic tool for doing so is the Feynman-Kac formula ...