On the convergence of eigenfunctions to threshold energy states
Thomas Østergaard Sørensen, Edgardo Stockmeyer
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-Δ+m2-m, and the Dirac operator.
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