Self-adjointness of semi-relativistic Pauli-Fierz Hamiltonian
- Resource Type
- Working Paper
- Authors
- Hidaka, Takeru; Hiroshima, Fumio
- Source
- Subject
- Mathematical Physics
- Language
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.
Comment: We add section 1.4. We revised Lemma 2.6 and add references