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Spectral properties for Hamiltonians of weak interactions

Abstract : We present recent results on the spectral theory for Hamiltonians of the weak decay. We discuss rigorous results on self-adjointness, location of the essential spectrum, existence of a ground state, purely absolutely continuous spectrum and limiting absorption principles. The last two properties heavily rely on the so-called Mourre Theory, which is used, depending on the Hamiltonian we study, either in its standard form, or in a more general framework using non self-adjoint conjugate operators.
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Submitted on : Sunday, April 29, 2018 - 2:19:23 PM
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  • HAL Id : hal-01253138, version 1


Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot. Spectral properties for Hamiltonians of weak interactions . International Conference on Spectral Theory and Mathematical Physics, Nov 2014, Santiago de Chile, Chile. pp.11-36. ⟨hal-01253138⟩



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