Ground States for translationally invariant Pauli-Fierz Models at zero Momentum

Abstract

We consider the translationally invariant Pauli-Fierz model describing a charged particle interacting with the electromagnetic field. We show under natural assumptions that the fiber Hamiltonian at zero momentum has a ground state.

References in corpus (1)

• Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED

Cited by in corpus (4)

• On Existence of Ground States in the Spin Boson Model
• Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
• A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
• Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED