Academic Journals Database
Disseminating quality controlled scientific knowledge

Chiral Dirac Equation Derived From Quaternionic Maxwell’s Systems

Author(s): Hector Torres-Silva

Journal: Journal of Electromagnetic Analysis and Applications
ISSN 1942-0730

Volume: 05;
Issue: 03;
Start page: 103;
Date: 2013;
Original page

Keywords: Quaternion | Dirac Equation | Maxwell System

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.
Save time & money - Smart Internet Solutions      Why do you need a reservation system?