Self-adjointness of semi-relativistic Pauli-Fierz Hamiltonian

Abstract

The spinless semi-relativistic Pauli-Fierz Hamiltonian $H$ in quantum electrodynamics is considered. The self-adjointness and essential self-adjointness of $H$ are shown. It is emphasized that it includes the massless case. Furthermore, the self-adjointness and the essential self-adjointness of the semi-relativistic Pauli-Fierz model with a fixed total momentum is also proven.

We add section 1.4. We revised Lemma 2.6 and add references

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