On the ionization energy of the semi-relativistic Pauli-Fierz model for a single particle

Abstract

A semi-relativistic Pauli-Fierz model is defined by the sum of the free Hamiltonian H f of a Boson Fock space, an nuclear potential V and a relativistic kinetic energy:Let −e 0 < 0 be the ground state energy of a semi-relativistic Schrödinger operatorfor all values of both of the coupling constant e ∈ R and the rest mass M ≥ 0. In particular our result includes the case of M = 0.