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arXiv:1906.08633 [math-ph]AbstractReferencesReviewsResources

A discrete version of plane wave solutions of the Dirac equation in the Joyce form

Volodymyr Sushch

Published 2019-06-18Version 1

We construct a discrete version of the plane wave solution to a discrete Dirac-K\"{a}hler 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.

Comments: 20 pages. arXiv admin note: substantial text overlap with arXiv:1802.00040
Categories: math-ph, math.MP
Subjects: 39A12, 39A70, 81Q05
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