A Discrete Version of Plane Wave Solutions of the Dirac Equation in the Joyce Form

We construct a discrete version of the plane wave solution to a discrete Dirac-Kähler equation in the Joyce form. A geometric discretisation scheme based on both forward and backward difference operators is used. The conditions under which a discrete plane wave solution satisfies a discrete Joyce eq...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Advances in applied Clifford algebras 2020-07, Vol.30 (3), Article 46
1. Verfasser:	Sushch, Volodymyr
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Dirac equation Finite differences Mathematical and Computational Physics Mathematical Methods in Physics Operators (mathematics) Physics Physics and Astronomy Plane waves Theoretical
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We construct a discrete version of the plane wave solution to a discrete Dirac-Kähler equation in the Joyce form. A geometric discretisation scheme based on both forward and backward difference operators is used. The conditions under which a discrete plane wave solution satisfies a discrete Joyce equation are discussed.
ISSN:	0188-7009 1661-4909
DOI:	10.1007/s00006-020-01072-w