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 …

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 …

A Feynman–Kac-type formula for a Lévy and an infinite-dimensional Gaussian random
process associated with a quantized radiation field is derived. In particular, a functional …

In this paper, we consider the spectrum of a model in quantum electrodynamics with a
spatial cutoff. It is proven that (1) the Hamiltonian is self-adjoint;(2) under the infrared …

We consider moving atoms and ions in R3 interacting with the quantized electromagnetic
field. Because of the translation invariance we consider the reduced Hamiltonian associated …

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 a hydrogen-like atom in a quantized electromagnetic field which is modeled by
means of a no-pair operator acting in the positive spectral subspace of the free Dirac …

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 a Hamiltonian with cutoffs describing the weak decay of spin 1 massive bosons
into the full family of leptons. The Hamiltonian is a self‐adjoint operator in an appropriate …

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 …