Second order perturbation theory for embedded eigenvalues
Language
en
Article de revue
This item was published in
Communications in Mathematical Physics. 2011, vol. 306, p. 193-228
Springer Verlag
English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported