On the self-adjointness and domain of Pauli-Fierz type Hamiltonians
arXiv:0707.1713 · doi:10.1142/S0129055X08003389
Abstract
We prove a general theorem about the self-adjointness and domain of Pauli-Fierz type Hamiltonians. Our proof is based on commutator arguments which allow us to treat fields with non-commuting components. As a corollary it follows that the domain of the Hamiltonian of non-relativistic QED with Coulomb interactions is independent of the coupling constant.
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