A Discrete Dirac–Kähler Equation Using a Geometric Discretisation Scheme

Discrete models of the Dirac–Kähler equation and the Dirac equation in the Hestenes form are discussed. A discrete version of the plane wave solutions to a discrete analogue of the Hestenes equation is established.

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Bibliographische Detailangaben
Veröffentlicht in:	Advances in applied Clifford algebras 2018-09, Vol.28 (4), p.1-17, Article 72
1. Verfasser:	Sushch, Volodymyr
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Dirac equation Mathematical and Computational Physics Mathematical Methods in Physics Physics Physics and Astronomy Plane waves Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Discrete models of the Dirac–Kähler equation and the Dirac equation in the Hestenes form are discussed. A discrete version of the plane wave solutions to a discrete analogue of the Hestenes equation is established.
ISSN:	0188-7009 1661-4909
DOI:	10.1007/s00006-018-0889-0