This selective review is written as an introduction to the mathematical theory of the
Schrödinger equation for N particles. Characteristic for these systems are the cluster …

Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians -
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In this paper we analyze the bottom of the energy-momentum spectrum of the translation
invariant Nelson model, describing one electron linearly coupled to a second quantized …

We develop a new scheme of proofs for spectral theory of the N-body Schrödinger
operators, reproducing and extending a series of sharp results under minimum conditions …

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 …

Making use of the localised Putnam theory developed in [gj], we show the limiting absorption
principle for Schrödinger operators with perturbed oscillating potential on appropriate …

We review the spectral analysis and the time-dependent approach of scattering theory for
manifolds with asymptotically cylindrical ends. For the spectral analysis, higher order …

We apply weighted Mourre commutator theory to prove the limiting absorption principle for
the discrete Schrödinger operator perturbed by the sum of a Wigner–von Neumann and long …

The present paper gives an abstract method to prove that possibly embedded eigenstates of
a self-adjoint operator H lie in the domain of the kth power of a conjugate operator A …

Absence of Quantum States Corresponding to Unstable Classical Channels Page 1 Ann.
Henri Poincaré 9 (2008), 509–552 c© 2008 Birkhäuser Verlag Basel/Switzerland 1424-0637/030509-44 …