71 citations · 312 across the 19 of their papers we have counts for
19 papers
The quaternionic Goos-Haenchen shift
Stefano De Leo, Gisele C. Ducati
We investigate the lateral displacement of electronic waves when partially and totally reflected by a quaternionic potential. Following the analogy between Quantum Mechanics and Op…
Quaternionic perturbation theory
Stefano De Leo, Gisele Ducati, Caio Almeida Alves de Souza
In this paper we present a perturbation theory for constant quaternionic potentials. The effects of quaternionic perturbations are explicitly treated for bound states of hydrogen a…
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 Snell law for quaternionic potentials
Stefano De Leo, Gisele Ducati
By using the analogy between optics and quantum mechanics, we obtain the Snell law for the planar motion of quantum particles in the presence of quaternionic potentials.
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…