Solutions For The Klein-gordon And Dirac Equations On The Lattice Based On Chebyshev Polynomials

dc.creatorFaustino
dc.creatorNelson
dc.date2016
dc.datefev
dc.date2017-11-13T13:23:22Z
dc.date2017-11-13T13:23:22Z
dc.date.accessioned2018-03-29T05:56:00Z
dc.date.available2018-03-29T05:56:00Z
dc.identifierComplex Analysis And Operator Theory. Springer Basel Ag, v. 10, p. 379 - 399, 2016.
dc.identifier1661-8254
dc.identifier1661-8262
dc.identifierWOS:000368686800009
dc.identifier10.1007/s11785-015-0476-5
dc.identifierhttps://link.springer.com/article/10.1007/s11785-015-0476-5
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/328081
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1365106
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionThe main goal of this paper is to adopt a multivector calculus scheme to study finite difference discretizations of Klein-Gordon and Dirac equations for which Chebyshev polynomials of the first kind may be used to represent a set of solutions. The development of a well-adapted discrete Clifford calculus framework based on spinor fields allows us to represent, using solely projection based arguments, the solutions for the discretized Dirac equations from the knowledge of the solutions of the discretized Klein-Gordon equation. Implications of those findings on the interpretation of the lattice fermion doubling problem is briefly discussed.
dc.description10
dc.description2
dc.description379
dc.description399
dc.descriptionFAPESP (S.P., Brazil) [13/07590-8]
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.languageEnglish
dc.publisherSpringer Basel AG
dc.publisherBasel
dc.relationComplex Analysis and Operator Theory
dc.rightsfechado
dc.sourceWOS
dc.subjectChebyshev Polynomials
dc.subjectDiscrete Dirac Operators
dc.subjectLattice Fermion Doubling
dc.subjectSpinor Fields
dc.titleSolutions For The Klein-gordon And Dirac Equations On The Lattice Based On Chebyshev Polynomials
dc.typeArtículos de revistas


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