Second order perturbation theory for embedded eigenvalues
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en
Article de revue
Ce document a été publié dans
Communications in Mathematical Physics. 2011, vol. 306, p. 193-228
Springer Verlag
Résumé en anglais
We study second order perturbation theory for embedded eigenvalues of an abstract class of self-adjoint operators. Using an extension of the Mourre theory, under assumptions on the regularity of bound states with respect ...Lire la suite >
We study second order perturbation theory for embedded eigenvalues of an abstract class of self-adjoint operators. Using an extension of the Mourre theory, under assumptions on the regularity of bound states with respect to a conjugate operator, we prove upper semicontinuity of the point spectrum and establish the Fermi Golden Rule criterion. Our results apply to massless Pauli-Fierz Hamiltonians for arbitrary coupling.< Réduire
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