A class of nonselfadjoint spectral differential operators of interest in physics

It is shown that the nonselfadjoint (and non-normal) linear ordinary differential operators of a certain class are spectral operators of scalar type in the sense of Dunford and Bade. Operators of this kind appear in physical problems such as the scattering of spin waves by magnetic solitons.

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Publication Details

Journal
Journal of Mathematical Analysis and Applications
Published
2026-03-12
DOI
https://doi.org/10.1016/j.jmaa.2026.130603
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

A class of nonselfadjoint spectral differential operators of interest in physics

Victor Laliena
Journal of Mathematical Analysis and Applications
Spectral Theory in Mathematical Physics
article

A class of nonselfadjoint spectral differential operators of interest in physics

Victor Laliena
article en

Abstract

It is shown that the nonselfadjoint (and non-normal) linear ordinary differential operators of a certain class are spectral operators of scalar type in the sense of Dunford and Bade. Operators of this kind appear in physical problems such as the scattering of spin waves by magnetic solitons.

Journal of Mathematical Analysis and ApplicationsVol. 560(1)
Universidad de Zaragoza (ES)
Openalex Percentile: Top 21%
Spectral Theory in Mathematical Physics
DOIOpen Access PDFOpenAlex
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