New methods in spectral theory of N-body Schrödinger operators

We develop a new scheme of proofs for spectral theory of the N-body Schr\"odinger operators, reproducing and extending a series of sharp results under minimum conditions. Our main results include Rellich's theorem, limiting absorption principle bounds, microlocal resolvent bounds, H\"older continuity of the resolvent and a microlocal Sommerfeld uniqueness result.... Show more