On 3D and 1D Weyl particles in a 1D box

Vincenzo, Salvatore DeÂ

doi:10.1140/epjp/s13360-020-00820-y

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On the Analogy Between The Maxwell And Dirac Equations1

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2020

2023

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Cited by 2 publications

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“…In this paper we refer to the Majorana representation of a wave equation as a 'Majorana equation.' See Pal [25] for a review of Majorana and Weyl fermions, and De Vincenzo [26,27] for examples of solutions of Majorana and Weyl wavefunctions.…”

Section: On the Analogy Between The Maxwell And Dirac Equationsmentioning

confidence: 99%

On the Majorana representation of the optical Dirac equation

Dennis

Tijssen

Morgan

2023

J. Phys. A: Math. Theor.

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We consider the representations of the optical Dirac equation, especially ones where the Hamiltonian is purely real-valued. This is equivalent, for Maxwell’s equations, to the Majorana representation of the massless Dirac (Weyl) equation. We draw analogies between the Dirac, chiral and Majorana representations of the Dirac and optical Dirac equations, and derive two new optical Majorana representations. Just as the Dirac and chiral representations are related to optical spin and helicity states, these Majorana representations of the optical Dirac equation are associated with the linear polarisation of light. This provides a means to compare electron and electromagnetic wave equations in the context of classical ﬁeld theory.

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Section: On the Analogy Between The Maxwell And Dirac Equationsmentioning

confidence: 99%