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 …

The purpose of this article is twofold. On one hand, we rigorously derive the Newton--
Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in …

We consider expansions of eigenvalues and eigenvectors of models of quantum field theory.
For a class of models known as generalized spin–boson model, we prove the existence of …

In this paper, we determine the exact expression for the hydrogen binding energy in the
Pauli–Fierz model up to the order α 5 log α− 1, where α denotes the fine structure constant …

An enhanced binding of an N-particle system linearly coupled to a scalar bose field is
investigated, where N≥ 2. It is not assumed that this system has a ground state for a zero …

We consider a multi-atomic system where the nuclei are assumed to be point charges at
fixed positions. Particles interact via Coulomb potential and electrons have …

We consider mathematical models of the weak decay of the vector bosons W±into leptons.
The free quantum field Hamiltonian is perturbed by an interaction term from the standard …

In this paper, we determine the exact expression for the hydrogen binding energy in the
Pauli-Fierz model up to the order $ O (\alpha^ 5\log\alpha^{-1}) $, where $\alpha $ denotes …

We consider a spinless, non-relativistic particle bound by an external potential and linearly
coupled to a quantized radiation field. The energy E (u, f) of product states of the form u⊗ Ψf …

The intermolecular and interatomic interactions are at the basis of several important
phenomena which occur in our world [2, 4, 39]. If we consider two neutral atoms, it is a well …