On the self-adjointness and domain of Pauli-Fierz type Hamiltonians

Details On the self-adjointness and domain of Pauli-Fierz type Hamiltonians On the self-adjointness and domain of Pauli-Fierz type Hamiltonians

2007-07-11

arxiv.org/abs/0707.1713v1

Physics

Mathematical Physics

Scientific paper

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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