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Spectral Theory of Massless Pauli-Fierz Models

Authors:	V.?Georgescu author-information" > author-information__contact u-icon-before" > mailto:Vladimir.Georgescu@math.u-cergy.fr" title=" Vladimir.Georgescu@math.u-cergy.fr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,C.?Gérard,J.S.?M?ller

Affiliation:	(1) CNRS and Département de Mathématiques, Université de Cergy-Pontoise, 95302 Cergy-Pontoise Cedex, France;(2) Département de Mathématiques, Université de Paris Sud, 91405 Orsay Cedex, France;(3) FB Mathematik (17), Johannes Gutenberg Universität, 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.Supported by Carlsbergfondet

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