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Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace

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Details

Original languageEnglish
Article number71
JournalAdvances in Applied Clifford Algebras
Volume29
Issue number4
DOIs
Publication statusPublished - 1 Sep 2019
Publication typeA1 Journal article-refereed

Abstract

In this paper, we obtain Cauchy–Kovalevskaya theorems for hypermonogenic superfunctions depending only on purely bosonic and fermionic vector variables. In addition, we use these results to construct plane wave examples of such functions.

ASJC Scopus subject areas

Keywords

  • Cauchy–Kovalevskaya extension, Clifford analysis, Hypermonogenic functions, Plane waves, Superspace

Publication forum classification

Field of science, Statistics Finland