On the convergence of eigenfunctions to threshold energy states

Details On the convergence of eigenfunctions to threshold energy states On the convergence of eigenfunctions to threshold energy states

2006-04-06

arxiv.org/abs/math-ph/0604015v2

Physics

Mathematical Physics

15 pages; references and comments added (e.g., Remark 3)

Scientific paper

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}-m, and
the Dirac operator.

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