Second order perturbation theory for embedded eigenvalues
Idioma
en
Article de revue
Este ítem está publicado en
Communications in Mathematical Physics. 2011, vol. 306, p. 193-228
Springer Verlag
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Orígen
Importado de HalCentros de investigación