A new development in quantum field equations of dyons

Abstract

In this study, we describe a novel approach to quantum phenomena of the generalized electromagnetic fields of dyons with quaternionic analysis. Starting with quaternionic quantum wave equations, we have established a quantized condition for time coordinate that transforms microscopic to macroscopic fields. In view of classical electromagnetic field equation, we propose a new set of quantized Proca-Maxwell's equations for dyons. Furthermore, a quantized form of four-currents densities and the quantized Lorentz gauge conditions, respectively for electric and magnetic potentials of dyons are obtained. We have established the new quantized continuity equations for electric and magnetic densities of dyons which associated with a torque density result from the two spin states. The quantized Klein-Gordon like field equations and the unified quaternionic electromagnetic potential wave equations for massive dyons are demonstrated. Moreover, we investigate the quaternionic quantized relativistic Dirac field equations for massive dyons, which indicated that there will be the existence of antiparticle of dyons called antidyons.

19 pages; revised

References in corpus (3)

• Derivation of Dirac, Klein-Gordon, Schrodinger, Diffusion and quantum heat transport equations from a universal quantum wave equation
• A relativistic quantum theory of dyons wave propagation
• Electromagnetic Duality, Quaternion and Supersymmetric Gauge Theories of Dyons

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• Generalized quaternionic free rotational Dirac equation and spinor solutions in the electromagnetic field
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• A possibility of Klein Paradox in quaternionic (3+1) frame
• Klein-Gordon equation within the real Hilbert space formalism
• On the existence of quaternion-handedness for the spinor solutions of the Dirac and Majorana neutrinos