On the convergence of eigenfunctions to threshold energy states
arXiv:math-ph/0604015
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+m^2}-m, and the Dirac operator.
15 pages; references and comments added (e.g., Remark 3)