Functional integral approach to semi-relativistic Pauli-Fierz models

Abstract

By means of functional integrations spectral properties of semi-relativistic Pauli-Fierz Hamiltonians in quantum electrodynamics is considered. Two self-adjoint extensions of a semi-relativistic Pauli-Fierz Hamiltonian are defined. An essential self-adjointness, a spatial decay of bound states, a Gaussian domination of the ground state and the existence of a measure associated with the ground state are shown.

To be published in Adv in Math. Confused notations are revised

References in corpus (3)

• On the ionization energy of the semi-relativistic Pauli-Fierz model for a single particle
• Spectrum of the semi-relativistic Pauli-Fierz model I
• Spin-Boson Model through a Poisson-Driven Stochastic Process