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March 14, 2026Open Access

A class of nonselfadjoint spectral differential operators of interest in physics

Key Points

To explore nonselfadjoint spectral differential operators of interest in physics.
Analysis of linear ordinary differential operators
Evaluation of their spectral nature as scalar type
Identified operators as spectral in the sense of Dunford and Bade
Described their relevance in physical applications like scattering of spin waves by magnetic solitons

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.

A class of nonselfadjoint spectral differential operators of interest in physics

Key Points

Abstract

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