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Pauli-Fierz Hamiltonians defined as quadratic forms
Authors:Laurent Bruneau
Institution:Department of Mathematical Methods in Physics, Warsaw University, Ho?a 74, 00-682 Warszawa, Poland
Abstract:We study Pauli-Fierz Hamiltonians-self-adjoint operators describing a small quantum system interacting with a bosonic field. Using quadratic form techniques, we extend the results of Dereziński-Gérard and Gérard about the self-adjointness, the location of the essential spectrum and the existence of a ground state to a large class of Pauli-Fierz Hamiltonians.
Keywords:Pauli-Fierz Hamiltonians  Fock spaces  quadratic form  spectral theory
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