This monograph offers a state-of-the-art mathematical account of functional integration
methods in the context of self-adjoint operators and semigroups using the concepts and …

We consider a hydrogen-like atom in a quantized electromagnetic field which is modeled by
means of the semi-relativistic Pauli–Fierz operator and prove that the infimum of the …

We show that the Hamiltonian describing N nonrelativistic electrons with spin, interacting
with the quantized radiation field and several fixed nuclei with total charge Z, has a ground …

We consider a spin-12 electron in the framework of non-relativistic Quantum
Electrodynamics (QED). Let H (p→, σ) denote the fiber Hamiltonian corresponding to the …

Ground states of Hamiltonian H of quantum field models are investigated. The infimum of the
spectrum of H is in the edge of its essential spectrum. By means of the asymptotic field …

We consider a Hamiltonian with ultraviolet and infrared cutoffs, describing the interaction of
relativistic electrons and positrons in the Coulomb potential with photons in Coulomb gauge …

In this paper we study the semiclassical limit $\hslash\to 0$ of a completely solvable model
in quantum field theory: the van Hove model, describing a scalar field created and …

We consider the Brown–Ravenhall model of a relativistic atom with N electrons and a
nucleus of charge Z and prove the existence of an infinite number of discrete eigenvalues for …

The standard model of non-relativistic quantum electrodynamics describes non-relativistic
quantum matter, such as atoms and molecules, coupled to the quantized electromagnetic …

We consider two different models of a hydrogenic atom in a quantized electromagnetic field
that treat the electron relativistically. The first one is a no-pair model in the free picture, the …