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Type: Artigo
Title: Solutions For The Klein-gordon And Dirac Equations On The Lattice Based On Chebyshev Polynomials
Author: Faustino
Abstract: The 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.
Subject: Chebyshev Polynomials
Discrete Dirac Operators
Lattice Fermion Doubling
Spinor Fields
Editor: Springer Basel AG
Citation: Complex Analysis And Operator Theory. Springer Basel Ag, v. 10, p. 379 - 399, 2016.
Rights: fechado
Identifier DOI: 10.1007/s11785-015-0476-5
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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