%0 Journal Article
%T Regularity of Bound States
%A J. Faupin
%A J. S. M£żller
%A E. Skibsted
%J Mathematics
%D 2010
%I arXiv
%R 10.1142/S0129055X11004333
%X We study regularity of bound states pertaining to embedded eigenvalues of a self-adjoint operator $H$, with respect to an auxiliary operator $A$ that is conjugate to $H$ in the sense of Mourre. We work within the framework of singular Mourre theory which enables us to deal with confined massless Pauli-Fierz models, our primary example, and many-body AC-Stark Hamiltonians. In the simpler context of regular Mourre theory our results boils down to an improvement of results obtained recently in \cite{CGH}.
%U http://arxiv.org/abs/1006.5871v1