Spectral Analysis for Systems of Atoms and Molecules coupled to the Quantized Radiation Field

Spectral Analysis for Systems of Atoms and Molecules coupled to the Quantized Radiation Field

Spectral Analysis for Systems of Atoms andMolecules coupled to the Quantized

We consider systems of static nuclei and electrons {atoms and molecules{ coupled to the quantized radiation eld. The interactions between electrons and the soft modes of the quantized electromagnetic eld are described by minimal coupling, ~ p ! ~ p?e ~ A(~ x), where ~ A(~ x) is the electromagnetic vector potential with an ultraviolet cutoo. If the interactions between the electrons and the quan...

Spectral Analysis of Relativistic Atoms – Interaction with the Quantized Radiation Field

Abstract. This is the the second part of a series of two papers, which investigate spectral properties of Dirac operators with singular potentials. We will provide a spectral analysis of a relativistic oneelectron atom in interaction with the second quantized radiation field and thus extend the work of Bach, Fröhlich, and Sigal [5] and Hasler, Herbst, and Huber [19] to such systems. In particul...

Mourre Estimate and Spectral Theory for the Standard Model of Non-Relativistic QED

For a model of atoms and molecules made from static nuclei and non-relativistic electrons coupled to the quantized radiation field (the standard model of non-relativistic QED), we prove a Mourre estimate and a limiting absorption principle in a neighborhood of the ground state energy. As corollaries we derive local decay estimates for the photon dynamics, and we prove absence of (excited) eigen...

Spectral Theory for the Standard Model of Non-Relativistic QED

For a model of atoms and molecules made from static nuclei and non-relativistic electrons coupled to the quantized radiation field (the standard model of non-relativistic QED), we prove a Mourre estimate and a limiting absorption principle in a neighborhood of the ground state energy. As corollaries we derive local decay estimates for the photon dynamics, and we prove absence of (excited) eigen...