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Abstract <p> A class of field (relativistically invariant) equations is introduced for a wave functionconsisting of several Weyl spinors. The equations are such that each of these Weyl spinors satisfiesthe Klein–Gordon equation with the same mass. Subclasses of equations of Majorana type andDirac type are introduced. It is shown that the known equations for Elko spinors belong to thesubclass of Dirac type equations.</p>

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Classification of Field Equations for Weyl and Elko Spinors

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • N. G. Marchuk

摘要

Abstract

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