31 citations · 82 across the 6 of their papers we have counts for
10 papers
Winding number and homotopy for quaternionic curves
Sergio Giardino
Following a recent approach to quaternionic curves, we defined the quaternionic polar angle that enabled us to define global properties of quaternionic curves, namely the winding n…
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 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…
Quaternionic elastic scattering
Sergio Giardino
We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM) and derive expression for the wave fu…
Quaternionic electrodynamics
Sergio Giardino
We develop a quaternionic electrodynamics and show that it naturally supports the existence of magnetic monopoles. We obtained the field equations, the continuity equation, the ele…
Square-well potential in quaternic quantum mechanics
Sergio Giardino
The one-dimensional infinite square well is the simplest solution of quantum mechanics, and consequently one of the most important. In this article, we provide this solution using…