Journalartikel

Jahr der Veröffentlichung: 1998

Seiten: 245-250

Zeitschrift: Physics Letters A

Bandnummer: 242

Heftnummer: 4-5

ISSN: 0375-9601

DOI Link: https://doi.org/10.1016/S0375-9601(98)00218-7

Verlag: Elsevier

Abstract: 
We apply the method of finite elements to the one-dimensional Dirac equation. The dispersion relation of the finite element formulation shows that the method leads to a problem known as "fermion doubling". Investigating the propagation of a Gaussian wave packet on a finite element mesh we demonstrate that fermion doubling has unphysical consequences such as wave packets moving with velocities greater than the speed of light. (C) 1998 Elsevier Science B.V.

Harvard-Zitierstil: Muller, C., Grun, N. and Scheid, W. (1998) Finite element formulation of the Dirac equation and the problem of fermion doubling, Physics Letters A, 242(4-5), pp. 245-250. https://doi.org/10.1016/S0375-9601(98)00218-7

APA-Zitierstil: Muller, C., Grun, N., & Scheid, W. (1998). Finite element formulation of the Dirac equation and the problem of fermion doubling. Physics Letters A. 242(4-5), 245-250. https://doi.org/10.1016/S0375-9601(98)00218-7