Classification of Field Equationsfor Weyl and Elko Spinors

A class of field (relativistically invariant) equations is introduced for a wave function consisting of several Weyl spinors. The equations are such that each of these Weyl spinors satisfies the Klein–Gordon equation with the same mass. Subclasses of equations of Majorana type and Dirac type are introduced. It is shown that the known equations for Elko spinors belong to the subclass of Dirac type equations.

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Publication Details

Journal
Differential Equations
Published
2025-03-01
DOI
https://doi.org/10.1134/s0012266125030061
Citations
1
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
3.73
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article

Classification of Field Equationsfor Weyl and Elko Spinors

Н. Г. Марчук
1 citations
Differential Equations
Algebraic and Geometric Analysis
3.73
article

Classification of Field Equationsfor Weyl and Elko Spinors

Н. Г. Марчук
article en
1 citations

Abstract

A class of field (relativistically invariant) equations is introduced for a wave function consisting of several Weyl spinors. The equations are such that each of these Weyl spinors satisfies the Klein–Gordon equation with the same mass. Subclasses of equations of Majorana type and Dirac type are introduced. It is shown that the known equations for Elko spinors belong to the subclass of Dirac type equations.

Differential EquationsVol. 61(3)
National Research University Higher School of Economics (RU), Russian Academy of Sciences (RU), Steklov Mathematical Institute (RU)
Openalex Percentile: Top 8%
Algebraic and Geometric Analysis
3.73
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