Generalization of Haag's theorem in scattering theory |
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| Affiliation: | Institute of Theoretical Physics, University of Wroclaw, Poland;Max Planck Institute for the History of Science, Boltzmannstraße 22, 14195 Berlin, Germany;International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, Växjö, S-35195, Sweden;Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, I-00133 Roma, Italy |
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| Abstract: | A simple proof of Haag's theorem for the Jost model is given. Our method, different from the known ones, enables us to generalize the Haag's theorem in a sense that the inversitibility property of W±(t) mappings for any fixed time and its boundedness, instead of the unitarity requirement, is already sufficient to make a theory physically trivial. |
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