Mathematical Challenges of Quantum Transport in Nano-Optoelectronic Systems - Abstract

Purice, Radu

Eigenfunctions decay for magnetic pseudodifferential operators

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 $L^2 (R^d)$ defined by magnetic pseudodifferential operators. This class contains the relativistic Schrödinger operator with magnetic field.