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arXiv · 1005.1743

Eigenfunctions decay for magnetic pseudodifferential operators

Viorel Iftimie·Radu Purice
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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 $L^2(\mathbb{R}^d)$ defined by ``magnetic'' pseudodifferential operators (studied in \cite{IMP1}). This class contains the relativistic Schrödinger operator with magnetic field.

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Viorel Iftimie, Radu Purice. 2010-05-11. Eigenfunctions decay for magnetic pseudodifferential operators. https://doi.org/10.1063/1.3642622

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