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.
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