Octonic Massive Field Equations

Demir, Süleyman; Kekeç, Seray

doi:10.1007/s10773-016-2963-5

Cited by 2 publications

(1 citation statement)

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“…Moreover, Arbab [30,31] derived the role of quaternionic quantum mechanics in case of quantized Maxwell equations. Besides, in literature [32]- [41], the reformulation of the field equations of magnetic monopoles and massive dyons have been discussed in terms of hyper complex numbers including quaternions, octonions and sedenions. Recently, Chanyal [42] independently proposed a covariant theory of relativistic quantum mechanics for dyons wave propagation in terms of quaternionic formalism.…”

Section: Introductionmentioning

confidence: 99%

A new development in quantum field equations of dyons

Chanyal

2018

Can. J. Phys.

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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.

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Section: Introductionmentioning

confidence: 99%