We do the spectral analysis of the Hamiltonian for the weak leptonic decay of the gauge
bosons W±. Using Mourre theory, it is shown that the spectrum between the unique ground …

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 use the formalism of S. Weinberg in order to construct a mathematical
model based on the weak decay of hadrons and nuclei. In particular we consider a model …

We consider a Hamiltonian describing the weak decay of the massive vector boson Z0 into
electrons and positrons. We show that the spectrum of the Hamiltonian is composed of a …

We consider Hamiltonian models representing an arbitrary number of spin 1/2 fermion
quantum fields interacting through arbitrary processes of creation or annihilation of particles …

We study the spectral properties of a Hamiltonian describing the weak decay of spin 1
massive bosons into the full family of leptons. We prove that the considered Hamiltonian is …

We present recent results on the spectral theory for Hamiltonians of the weak decay. We
discuss rigorous results on self-adjointness, location of the essential spectrum, existence of …

We consider a mathematical model for the weak decay of the intermediate boson Z0 into
neutrinos and antineutrinos. We prove that the total Hamiltonian has a unique ground state …

The ground state of the Yukawa model is considered. The Yukawa model describes the
system of a Dirac field interacting with a Klein–Gordon field. By introducing ultraviolet cutoffs …

We consider a free hydrogen atom composed of a spin-1 2 nucleus and a spin-1 2 electron
in the standard model of non-relativistic QED. We study the Pauli-Fierz Hamiltonian …