{ "id": "1802.00040", "version": "v1", "published": "2018-01-31T19:54:38.000Z", "updated": "2018-01-31T19:54:38.000Z", "title": "A discrete Dirac-Kähler equation using a geometric discretisation scheme", "authors": [ "Volodymyr Sushch" ], "comment": "20 pages. arXiv admin note: text overlap with arXiv:1411.7673", "categories": [ "math-ph", "math.MP" ], "abstract": "Discrete models of the Dirac-K\\\"{a}hler 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.", "revisions": [ { "version": "v1", "updated": "2018-01-31T19:54:38.000Z" } ], "analyses": { "subjects": [ "39A12", "81Q05", "39A70" ], "keywords": [ "discrete dirac-kähler equation", "geometric discretisation scheme", "plane wave solutions", "discrete analogue", "hestenes equation" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }