31 citations · 82 across the 6 of their papers we have counts for
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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…
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…
Virial theorem and generalized momentum in quaternic quantum mechanics
Sergio Giardino
After a review on recent results on quaternic quantum mechanics (QM), we present further consistency tests that reinforce its compatibility with the usual complex quant…
Quaternionic quantum mechanics in real Hilbert space
Sergio Giardino
A formulation of quaternionic quantum mechanics (QM) is presented in terms of a real Hilbert space. Using a physically motivated scalar product, we prove the spectral t…