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 ...

Journal of Operator Theory, Vol. 70, No. 1 (Summer 2013), pp. 109-144 (36 pages) We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption principle for ...

This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrödinger operators and the theory of quasi-periodicity in Hamiltonian evolution ...

Let G be a nilpotent Lie groups equipped with a Hörmander system of vector fields X = (X₁..., Xm) and $\Delta = \Sigma _{i = 1}^mX_i^2$ be the sub-Laplacians associated with X. Let A = — + W be the ...

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