Discretizing the one-dimensional Dirac equation

P.P.F. Wessels, W.J. Caspers, F.W. Wiegel

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
1 Downloads (Pure)

Abstract

We suggest a discretization of the Dirac equation based on time symmetry. This iterative scheme is correct to second order in ε, the lattice distance in time, and can therefore be considered as an improvement to the master equation suggested implicitly by Gaveau et al. (Phys. Rev. Lett. 53 (1984) 419), which generates the Feynman checkerboard propagator. Due to time symmetry this new scheme automatically conserves probability density.
Original languageEnglish
Pages (from-to)123-126
Number of pages4
JournalEurophysics letters
Volume46
Issue number2
DOIs
Publication statusPublished - 1999

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