GEORGESCU, V - Analyse Numérique et E.D.P., Université de Cergy-Pontoise, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise.
GERARD, C - Analyse Numérique et E.D.P., Université Paris-Sud, Bât. 425, 91405 Orsay cedex
MOLLER, J.S - Analyse Numérique et E.D.P., Johannes Gutenberg Universitat, D-55099 Mainz, Germany.
Abstract :
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 principle away from the eigenvalues for an arbitrary coupling constant. In addition we show that the expectation value of the number operator is finite on all eigenvectors. |
Contact : Christian.Gerard@math.u-psud.fr