138 citations · 913 across the 43 of their papers we have counts for
43 papers
Experimental confirmation of the transversal symmetry breaking in laser profiles
Silvânia A. Carvalho, Stefano De Leo, José A. Oliveira-Huguenin +1
The Snell phase effects on the propagation of optical beams through dielectric blocks have been matter of recent theoretical studies. The effects of this phase on the laser profile…
Closed form expression for the Goos-Haenchen lateral displacement
Manoel P. Araujo, Stefano De Leo, Gabriel G. Maia
The Artmann formula provides an accurate determination of the Goos-Haenchen lateral displacement in terms of the light wavelength, refractive index and incidence angle. In the tota…
Hartree-Fock and Random Phase Approximation theories in a many-fermion solvable model
Giampaolo Co', Stefano De Leo
We present an ideal system of interacting fermions where the solutions of the many-body Schroedinger equation can be obtained without making approximations. These exact solutions a…
The frequency crossover for the Goos-Hanchen shift
Manoel Araujo, Silvania Carvalho, Stefano De Leo
For total reflection, the Goos-Hanchen (GH) shift is proportional to the wavelength of the laser beam. At critical angles, such a shift is instead proportional to the square root o…
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 asymmetric Goos-Hänchen effect
Manoel P. Araujo, Silvânia A. Carvalho, Stefano De Leo
We show in which conditions optical gaussian beams, propagating throughout an homogeneous dielectric right angle prism, present an asymmetric Goos-Hänchen (GH) effect. This asymmet…
Antiparticle creation in tunneling
Stefano De Leo, Pietro Rotelli
We study particle interaction with a Dirac step potential. In the standard Klein energy zone, the hypothesis of Klein pair production predicts the existence of free/oscillatory ant…
Light transmission through a triangular air gap
Silvania A. Carvalho, Stefano De Leo
Due to the recent interest in studying propagation of light through triangular air gaps, we calculate, by using the analogy between optics and quantum mechanics and the multiple st…
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…
Resonant laser tunnelling
Stefano De Leo, Pietro Rotelli
We propose an experiment involving a gaussian laser tunneling through a twin barrier dielectric structure. Of particular interest are the conditions upon the incident angle for res…
Graphene tests of Klein phenomena
Stefano De Leo, Pietro Rotelli
Graphene is characterized by chiral electronic excitations. As such it provides a perfect testing ground for the production of Klein pairs (electron/holes). If confirmed, the stand…
Wave and Particle Limit for Multiple Barrier Tunneling
Stefano De Leo, Pietro Rotelli
The particle approach to one-dimensional potential scattering is applied to non relativistic tunnelling between two, three and four identical barriers. We demonstrate as expected t…
Laser Interaction with a Dielectric Block
Stefano De Leo, Pietro Rotelli
Some optical experiments provide the easiest way to test quantum mechanical predictions. Such a situation applies to a laser beam traversing a dielectric structure. The dielectric…
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…
Dirac Equation Studies in the Tunnelling Energy Zone
Stefano De Leo, Pietro Rotelli
We investigate the tunnelling zone V0 < E < V0+m for a one-dimensional potential within the Dirac equation. We find the appearance of superluminal transit times akin to the Hartman…
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…
Analytic Plane Wave Solutions for the Quaternionic Potential Step
Stefano De Leo, Gisele C. Ducati, Tiago M. Madureira
By using the recent mathematical tools developed in quaternionic differential operator theory, we solve the Schroedinger equation in presence of a quaternionic step potential. The…
Above Barrier Dirac Multiple Scattering and Resonances
Stefano De Leo, Pietro Rotelli
We extend an above barrier analysis made with the Schrodinger equation to the Dirac equation. We demonstrate the perfect agreement between the barrier results and back to back step…
Solving simple quaternionic differential equations
S. De Leo, G. C. Ducati
The renewed interest in investigating quaternionic quantum mechanics, in particular tunneling effects, and the recent results on quaternionic differential operators motivate the st…
Wave packets and quantum oscillations
S. De Leo, C. C. Nishi, P. Rotelli
We give a detailed analysis of the oscillation formula within the context of the wave packet formalism. Particular attention is made to insure flavor eigenstate creation in the phy…
Quaternionic potentials in non-relativistic quantum mechanics
S. De Leo, C. G. Ducati, Celso C. Nishi
We discuss the Schrodinger equation in presence of quaternionic potentials. The study is performed analytically as long as it proves possible, when not, we resort to numerical calc…
Timelapse
S. De Leo, P. Rotelli
We discuss the existence in an arbitrary frame of a finite time for the transformation of an initial quantum state into another e.g. in a decay. This leads to the introduction of a…
Quaternionic differential operators
S. De Leo, G. C. Ducati
Motivated by a quaternionic formulation of quantum mechanics, we discuss quaternionic and complex linear differential equations. We touch only a few aspects of the mathematical the…