Eigenfunctions decay for magnetic pseudodifferential operators
Analysis of PDEs
2013-04-10 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We prove rapid decay (even exponential decay under some stronger assumptions) of the eigenfunctions associated to discrete eigenvalues, for a class of self-adjoint operators in defined by ``magnetic'' pseudodifferential operators (studied in \cite{IMP1}). This class contains the relativistic Schr\"{o}dinger operator with magnetic field.
Cite
@article{arxiv.1005.1743,
title = {Eigenfunctions decay for magnetic pseudodifferential operators},
author = {Viorel Iftimie and Radu Purice},
journal= {arXiv preprint arXiv:1005.1743},
year = {2013}
}