69 citations · 394 across the 51 of their papers we have counts for
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On the electric and magnetic properties of conductors
Arbab I. Arbab
Application of the generalized continuity equation reveals that the drift current in conductors is equivalent to a negative diffusion current. A phenomenological model of conductiv…
Derivation of Dirac, Klein-Gordon, Schrodinger, Diffusion and quantum heat transport equations from a universal quantum wave equation
Arbab I. Arbab
A universal quantum wave equation that yields Dirac, Klein-Gordon, Schrodinger and quantum heat equations is derived. These equations are related by complex transformation of space…
A mass-extended 't Hooft-Nobbenhuis complex transformations and their consequences
Arbab I. Arbab, Hisham M. Widatallah
We have extended the 't Hooft-Nobbenhuis complex transformations to include mass. Under these new transformations, Schrodinger, Dirac, Klein-Gordon and Einstein general relativity…
A quaternionic unification of electromagnetism and hydrodynamics
Arbab I. Arbab
We have derived energy conservation equations from the quaternionic Newton's law that is compatible with Lorentz transformation. This Newton's law yields directly the Euler equatio…
The Quaternionic Quantum Mechanics
Arbab I. Arbab
A quaternionic wavefunction consisting of real and scalar functions is found to satisfy the quaternionic momentum eigenvalue equation. Each of these components are found to satisfy…
Post-Galilean transformations of space and time derivatives and their consequences
Arbab I. Arbab, Faisal A. Yassein
Using post-Galilean space and time derivatives transformations and quantum mechanics, we have found a new particle-wave equation besides the Klein-Gordon equation describing a spin…