06-157 Arne Jensen, Gheorghe Nenciu

On the Fermi Golden Rule: Degenerate Eigenvalues (205K, pdf) May 14, 06

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Abstract. We review and further develop the framework in [10] of the stationary theory of resonances, arising by perturbation of either threshold, or embedded in the continuum, eigenvalues. While in [10] only non-degenerate eigenvalues were considered, here we add some results for the degenerate case. [10] A. Jensen and G. Nenciu, The Fermi Golden Rule and its form at thresholds in odd dimensions, Comm. Math. Phys. 261 (2006), 693--727.

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