Regularity of Bound States
Mathematical Physics
2015-05-19 v1 math.MP
Spectral Theory
Abstract
We study regularity of bound states pertaining to embedded eigenvalues of a self-adjoint operator , with respect to an auxiliary operator that is conjugate to 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}.
Cite
@article{arxiv.1006.5871,
title = {Regularity of Bound States},
author = {J. Faupin and J. S. Møller and E. Skibsted},
journal= {arXiv preprint arXiv:1006.5871},
year = {2015}
}
Comments
70 pages