Huygens' principle and Dirac-Weyl equation

Abstract

We investigate the validity of Huygens' principle for forward propagation in the massless Dirac-Weyl equation. The principle holds for odd space dimension n, while it is invalid for even n. We explicitly solve the cases n=1,2 and 3 and discuss generic $n$. We compare with the massless Klein-Gordon equation and comment on possible generalizations and applications.

arXiv comment7 pages, 1 figure

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• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
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Cited by in corpus (3)

• Unruh Effect and Takagi's Statistics Inversion in Strained Graphene
• Huygens' principle for the generalized Dirac operator in curved spacetime
• Fundamental solutions of the Dirac operator in the Friedmann-Lemaître-Robertson-Walker spacetime