Klein, MarkusRama, JulianeWüst, Rainer2021-12-172021-12-172005-08-222197-8085https://depositonce.tu-berlin.de/handle/11303/15563http://dx.doi.org/10.14279/depositonce-14336Let $H_0$ be self-adjoint with $E_0$ a possibly degenerate eigenvalue in the continuous spectrum $\sigma_c(H_0)$ and and $\psi_0$ a normalized eigenfunction. For a certain class of perturbations $W$ and $H=H_0+W$ we investigate the asymptotics of the (naive) resonance state $e^{-itH}\psi_0$ in the limit $W \to 0$. This amplifies previous results of Merkli and Sigal.en510 Mathematikresonance stateembedded eigenvaluequantum resonancetime evolutioneigenvalueResearch Paper