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quant-ph2020
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…
quant-ph2019★ 16 cited
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…
quant-ph2014★ 3 cited
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.