- 00-318 Jan Derezinski and Vojkan Jaksic
- Spectral theory of Pauli-Fierz operators
Aug 16, 00
(auto. generated ps),
of related papers
Abstract. We study spectral properties of Pauli-Fierz operators
which are commonly used to describe the interaction of a
small quantum system with a bosonic free field. We give
precise estimates on the location and multiplicity of the
singular spectrum of such operators. Applications of
these estimates, which will be discussed elsewhere, concern
spectral and ergodic theory of non-relativistic QED.
Our proof has two ingredients: the Feshbach method, which is
developed in an abstract framework, and Mourre theory
applied to the operator restricted to the sector orthogonal
to the vacuum.