On the convergence of eigenfunctions to threshold energy states
Published online by Cambridge University Press: 05 February 2008
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 Schrödinger operator, the pseudorelativistc operator $\sqrt{-\Delta+m^2}-m$, and the Dirac operator.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 1 , February 2008 , pp. 169 - 187
- Copyright
- 2008 Royal Society of Edinburgh
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