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Second order perturbation theory for embedded eigenvalues

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  • Institut for Matematiske Fag
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.
TidsskriftCommunications in Mathematical Physics
Sider (fra-til)193-228
Antal sider36
StatusUdgivet - 2011

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