40 citations · 396 across the 36 of their papers we have counts for
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Quaternionic Dirac free particle
Sergio Giardino
We solve the quaternionic Dirac equation ($\mathbbm H$DE) in the real Hilbert space, and we ascertain that their free particle solutions set comprises eight elements in the case of…
A complementary covariant approach to gravito-electromagnetism
Sergio Giardino
From a previous paper where we proposed a description of general relativity within the gravito-electromagnetic limit, we propose an alternative modified gravitational theory. As in…
A primer on the differential geometry of quaternionic curves
Sergio Giardino
This paper describes the foundations of a differential geometry of a quaternionic curves. The Frenet-Serret equations and the evolutes and evolvents of a particular quaternionic cu…
Quaternionic Klein-Gordon equation
Sergio Giardino
We solve Klein-Gordon equation (KGE) in the framework of the real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM). The presented solution is the simplest…
Quaternionic quantum harmonic oscillator
Sergio Giardino
In this article we obtained the harmonic oscillator solution for quaternionic quantum mechanics ($\mathbbm{H}$QM) in the real Hilbert space, both in the analytic method and in the…