We study the existence and the continuity properties of the boundary values on the real axis
of the resolvent of a self-adjoint operator H in the framework of the conjugate operator …

We study the spectral theory of massless Pauli-Fierz models using an extension of the
Mourre method. We prove the local finiteness of point spectrum and a limiting absorption …

We prove a limiting absorption principle at zero energy for two-body Schrödinger operators
with long-range potentials having a positive virial at infinity. More precisely, we establish a …

We study second order perturbation theory for embedded eigenvalues of an abstract class of
self-adjoint operators. Using an extension of the Mourre theory, under assumptions on the …

Abstract Let H (t)=− Δ+ V (t, x) be a time-dependent Schrödinger operator on L 2 (R 3). We
assume that V (t, x) is 2 π–periodic in time and decays sufficiently rapidly in space. Let U (t …

We present a variant of Mourre's commutator theory. We apply it to prove the limiting
absorption principle for Schrödinger operators with a perturbed Wigner–von Neumann …

We consider time periodic Hamiltonian on periodic graphs and estimate the number of its
quasi-energy eigenvalues on the finite interval in terms of potentials.

In this paper we study absence of embedded eigenvalues for Schrödinger operators on non-
compact connected Riemannian manifolds. A principal example is given by a manifold with …

This work is devoted to several translation-invariant models in nonrelativistic quantum field
theory (QFT), describing a nonrelativistic quantum particle interacting with a quantized …

We introduce a notion of scattering theory for the Laplace–Beltrami operator on non-
compact, connected and complete Riemannian manifolds. A principal condition is given by a …