Chiral Waves in Graphene Medium and Optical Simulation with Metamaterial

Torres-Silva, H.

doi:10.5772/51328

Cited by 2 publications

(1 citation statement)

References 26 publications

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“…In experimental point of view, the electromagnetic characterization of chiral media has already been described by Margineda et al [38] In the dimension of nanoscale, the chirality and the chiral electromagnetic fields generated by arrays of nano-slits have also been observed. [39−40] Furthermore, the experimental prediction of the chiral waves in graphene medium [41] has been a novel challenged in material science. On the other hand, in study of dyons, the magnetic monopoles are hypothetical particles with a single magnetic charge, either a north pole or a south pole.…”

Section: Discussionmentioning

confidence: 99%

Split Octonion Reformulation for Electromagnetic Chiral Media of Massive Dyons

Chanyal¹

2017

Commun. Theor. Phys.

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In an explicit, unified, and covariant formulation of an octonion algebra, we study and generalize the electromagnetic chiral fields equations of massive dyons with the split octonionic representation. Starting with 2×2 Zorn’s vector matrix realization of split-octonion and its dual Euclidean spaces, we represent the unified structure of split octonionic electric and magnetic induction vectors for chiral media. As such, in present paper, we describe the chiral parameter and pairing constants in terms of split octonionic matrix representation of Drude-Born-Fedorov constitutive relations. We have expressed a split octonionic electromagnetic field vector for chiral media, which exhibits the unified field structure of electric and magnetic chiral fields of dyons. The beauty of split octonionic representation of Zorn vector matrix realization is that, the every scalar and vector components have its own meaning in the generalized chiral electromagnetism of dyons. Correspondingly, we obtained the alternative form of generalized Proca–Maxwell’s equations of massive dyons in chiral media. Furthermore, the continuity equations, Poynting theorem and wave propagation for generalized electromagnetic fields of chiral media of massive dyons are established by split octonionic form of Zorn vector matrix algebra.

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Section: Discussionmentioning

confidence: 99%

Split Octonion Reformulation for Electromagnetic Chiral Media of Massive Dyons

Chanyal¹

2017

Commun. Theor. Phys.

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Chiral Dirac Equation Derived From Quaternionic Maxwell’s Systems

Torres-Silva¹

2013

JEMAA

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In the present article, we propose a simple equality involving the Dirac operator and the Maxwell operators under chiral approach. This equality establishes a direct connection between solutions of the two systems and moreover, we show that it is valid when the natural relation between the frequency of the electromagnetic wave and the energy of the Dirac particle is fulfilled if the electric field E is parallel to the magnetic field H. Our analysis is based on the quaternionic form of the Dirac equation and on the quaternionic form of the Maxwell equations. In both cases these reformulations are completely equivalent to the traditional form of the Dirac and Maxwell systems. This theory is a new quantum mechanics (QM) interpretation. The below research proves that the QM represents the electrodynamics of the curvilinear closed chiral waves. It is entirely according to the modern interpretation and explains the particularities and the results of the quantum field theory. Also this work may help to clarify the controversial relation between Maxwell and Dirac equations while presenting an original way to derive the Dirac equation from the chiral electrodynamics, leading, perhaps, to novel conception in interactions between matter and electromagnetic fields. This approach may give a reinterpretation of Majorana equation, neutrino mass, violation of Heinsenberg's measurement-disturbation relationship and mass generation in systems like graphene devices.

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Chiral Waves in Graphene Medium and Optical Simulation with Metamaterial

Cited by 2 publications

References 26 publications

Split Octonion Reformulation for Electromagnetic Chiral Media of Massive Dyons

Split Octonion Reformulation for Electromagnetic Chiral Media of Massive Dyons

Chiral Dirac Equation Derived From Quaternionic Maxwell’s Systems

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