Pauli-Fierz Hamiltonians defined as quadratic forms |
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Authors: | Laurent Bruneau |
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Affiliation: | Department of Mathematical Methods in Physics, Warsaw University, Ho?a 74, 00-682 Warszawa, Poland |
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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. |
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Keywords: | Pauli-Fierz Hamiltonians Fock spaces quadratic form spectral theory |
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