71 citations · 312 across the 19 of their papers we have counts for
10 papers · 1 filter
Quaternioninc Dirac Scattering
Stefano De Leo, Gisele Ducati, Sergio Giardino
The scattering of a Dirac particle has been studied for a quaternionic potential step. In the potential region an additional diffusion solution is obtained. The quaternionic soluti…
The octonionic eigenvalue problem
Stefano De Leo, Gisele Ducati
By using a real matrix translation, we propose a coupled eigenvalue problem for octonionic operators. In view of possible applications in quantum mechanics, we also discuss the her…
Delay Time in Quaternionic Quantum Mechanics
Stefano De Leo, Gisele Ducati
In looking for quaternionic violations of quantum mechanics, we discuss the delay time for pure quaternionic potentials. The study shows in which energy region it is possible to am…
A Closed Formula for the Barrier Transmission Coefficient in Quaternionic Quantum mechanics
Stefano De Leo, Gisele Ducati, Vinicius Leonardi +1
In this paper, we analyze, by using a matrix approach, the dynamics of a non-relativistic particle in presence of a quaternionic potential barrier. The matrix method used to solve…
Quaternionic Wave Packets
Stefano De Leo, Gisele C. Ducati
We compare the behavior of a wave packet in the presence of a complex and a pure quaternionic potential step. This analysis, done for a gaussian convolution function, sheds new lig…
Quaternionic Diffusion by a Potential Step
Stefano De Leo, Gisele C. Ducati
In looking for qualitative differences between quaternionic and complex formulations of quantum physical theories, we provide a detailed discussion of the behavior of a wave packet…