Artículos de revistas
Solutions For The Klein-gordon And Dirac Equations On The Lattice Based On Chebyshev Polynomials
Registro en:
Complex Analysis And Operator Theory. Springer Basel Ag, v. 10, p. 379 - 399, 2016.
1661-8254
1661-8262
WOS:000368686800009
10.1007/s11785-015-0476-5
Autor
Faustino
Nelson
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) 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. 10 2 379 399 FAPESP (S.P., Brazil) [13/07590-8] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)