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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Mathematics Subject Classification (2010). 47B25, 81Q10, 81T10, 83C47.
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© 2016 Springer International Publishing Switzerland
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Barbaroux, JM., Faupin, J., Guillot, JC. (2016). Spectral Properties for Hamiltonians of Weak Interactions. In: Mantoiu, M., Raikov, G., Tiedra de Aldecoa, R. (eds) Spectral Theory and Mathematical Physics. Operator Theory: Advances and Applications, vol 254. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29992-1_2
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DOI: https://doi.org/10.1007/978-3-319-29992-1_2
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29990-7
Online ISBN: 978-3-319-29992-1
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