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 ...

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 ...

It is well known that the resolvent at energy m>0 of the free Schrödinger operator on weighted L^2 spaces has norm decaying like m^{-1/2}. We show that this result is still valid for first-order ...

Taiwanese Journal of Mathematics, Vol. 26, No. 5 (October 2022), pp. 1045-1068 (24 pages) We consider how distribution of eigenvalues depends on boundary conditions of a discrete Laplacian operator on ...