A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators

Diomba Sambou

doi:10.1016/j.laa.2017.04.004

A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators

Diomba Sambou

Open Access

https://doi.org/10.1016/j.laa.2017.04.004

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Journal: Linear Algebra and Its Applications	Publication Date: Apr 4, 2017
Citations: 3	License type: publisher-specific-oa

Affiliation: Pontificia Universidad Católica de Chile

#Nonconstant Magnetic Fields #Discrete Spectrum + Show 6 more

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Abstract

In this work, we investigate the discrete spectrum generated by complex matrix-valued perturbations for a class of 2D and 3D Pauli operators with nonconstant magnetic fields. We establish a simple criterion for the potentials to produce discrete spectrum near the low ground energy of the operators. Moreover, in case of creation of nonreal eigenvalues, this criterion specifies also their location.

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