06-108 Thomas {\O}stergaard S{\o}rensen and Edgardo Stockmeyer

On the convergence of eigenfunctions to threshold energy states (56K, LaTeX) Apr 6, 06

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Abstract. We prove the convergence in certain weighted spaces in momentum space of eigenfunctions of H = T-lambda*V as the energy goes to an energy threshold. We do this for three choices of kinetic energy T, namely the non-relativistic Schr"odinger operator, the pseudorelativistc operator sqrt{-\Delta+m^2}, and the Dirac operator.

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