A5069819416- Algebraic and Geometric Analysis
- Quantum optics and atomic interactions
- Noncommutative and Quantum Gravity Theories
- Quantum Mechanics and Applications
- Cold Atom Physics and Bose-Einstein Condensates
- COVID-19 epidemiological studies
- Neutrino Physics Research
- Particle physics theoretical and experimental studies
- Quantum and Classical Electrodynamics
- Matrix Theory and Algorithms
- Advanced Topics in Algebra
- Advanced Fiber Laser Technologies
- Orbital Angular Momentum in Optics
- Atomic and Subatomic Physics Research
- Molecular spectroscopy and chirality
- Astrophysics and Cosmic Phenomena
- Mechanical and Optical Resonators
- Laser-Matter Interactions and Applications
- Advanced Mathematical Theories and Applications
- Data-Driven Disease Surveillance
- Topological Materials and Phenomena
- Quantum Mechanics and Non-Hermitian Physics
- Photonic and Optical Devices
- Mathematical Analysis and Transform Methods
- Quantum chaos and dynamical systems
Universidade Estadual de Campinas (UNICAMP)
2016-2025
University of Salento
2019
Universidade Federal do ABC
2015
Hospital de Clínicas da Unicamp
2003-2006
Istituto Nazionale di Fisica Nucleare, Sezione di Lecce
1992-1999
Imec the Netherlands
1999
Istituto Nazionale di Fisica Nucleare
1996-1998
Improving the overall characteristics of semitransparent solar cells (STSCs) is a very hard goal, not only because absorption and transmission light through device are two competitive processes but also power conversion efficiency (PCE) decreases with angle incidence sunlight rays due to Fresnel law limits. Here, unprecedented single-junction perovskite STSCs have been fabricated thanks rational management transverse magnetic electric reflection modes dielectric/metal/dielectric triple layer...
We study the right eigenvalue equation for quaternionic and complex linear matrix operators defined in n-dimensional vector spaces. For spectrum consists of n values. these we give a necessary sufficient condition diagonalization their representations. Our discussion is also extended to operators, whose characterized by 2n eigenvalues. show that consistent analysis problem requires choice geometry defining inner products. Finally, introduce some examples left equations highlight main...
By using a weak measurement technique, we investigated the interplay between angular and lateral Goos-Hänchen shift of focused He-Ne laser beam for incidence near critical angle. We verified that this dramatically affects composite propagated beam. The experimental results confirm theoretical predictions recently appeared in literature.
The determinant for complex matrices cannot be extended to quaternionic matrices. Instead, the Study and closely related q-determinant are widely used. We show that can characterized as unique functional which extends absolute value of discuss its spectral linear algebraic aspects.
We discuss the Schrodinger equation in presence of quaternionic potentials. The study is performed analytically as long it proves possible, when not, we resort to numerical calculations. results obtained could be useful investigate an underlying quantum dynamics particle physics. Experimental tests and proposals observe effects by neutron interferometry are briefly reviewed.
The Artmann formula provides an accurate determination of the Goos-Haenchen lateral displacement in terms light wavelength, refractive index and incidence angle. In total reflection region, this is widely used literature confirmed by experiments. Nevertheless, for at critical angle, it tends to infinity numerical calculations are needed reproduce experimental data. paper, we overcome divergence problem angle find, Gaussian beams, a closed modified Bessel functions first kind. excellent...
We reformulate Special Relativity by a quaternionic algebra on reals. Using real linear quaternions, we show that previous difficulties, concerning the appropriate transformations 3+1 space–time, may be overcome. This implies complexified version of is choice and not necessity.
For incidence in the critical region, propagation of gaussian lasers through triangular dielectric blocks is characterized by joint action angular deviations and lateral displacements. This mixed effect, known as composite Goos-Haenchen shift, produces a displacement dependent on axial coordinate, recently confirmed weak measurement experiment. We discuss under which conditions this displacement, only exists for presents an oscillatory behavior. oscillation phenomenon shows peculiar behavior...
We discuss the (right) eigenvalue equation for $\mathbb{H}$, $\mathbb{C}$ and $\mathbb{R}$ linear quaternionic operators. The possibility to introduce an isomorphism between these operators real/complex matrices allows translate problem into {\em equivalent} real or complex counterpart. Interesting applications are found in solving differential equations within formulations of quantum mechanics.
We discuss the extension of a version quaternion quantum mechanics to field theory and in particular simplest example, free scalar field. A previous difficulty with conservation four-momentum for "anomalous" bosonic particles is resolved.
The Dirac equation is solved for quaternionic potentials, i V0 + j W0 (\documentclass[12pt]{minimal}\begin{document}$V_{{0}}\in \mathbb {R}\,,\,\,W_{{0}}\in {C}$\end{document}V0∈R,W0∈C). study shows two different solutions. first one contains particle and anti-particle solutions leads to the diffusion, tunneling, Klein energy zones. standard solution recovered taking complex limit of this solution. second solution, which does not have a counterpart, can be seen as V0-antiparticle or |W0|-particle
Motivated by a quaternionic formulation of quantum mechanics, we discuss and complex linear differential equations. We touch only few aspects the mathematical theory, namely resolution second order equations with constant coefficients. overcome problems coming out from loss fundamental theorem algebra for quaternions propose practical method to solve The Schrödinger equation, in presence potentials, represents an interesting application material discussed this paper.
The stationary phase method is applied to diffusion by a potential barrier for an incoming wave packet with energies greater than the height of barrier. It observed that direct application leads paradoxical results. correct solution, confirmed numerical calculations creation multiple peaks as consequence reflections. Lessons concerning use are drawn.
We study the solutions for a one-dimensional electrostatic potential in Dirac equation when incoming wave packet exhibits Klein paradox (pair production). With barrier we demonstrate existence of multiple reflections (and transmissions). The antiparticle which are necessarily localized within region create new pairs with each reflection at walls. Consequently encounter because successive outgoing amplitudes grow geometrically.
We report about recent results on Dirac wave packets in the treatment of neutrino flavor oscillation where initial localization a spinor state implies an interference between positive and negative energy components mass-eigenstate packets. A satisfactory description fermionic particles requires use equation as evolution for mass-eigenstates. In this context, new conversion formula can be obtained when effects chiral are taken into account. Our study leads to conclusion that nature particles,...
In looking for quaternionic violations of quantum mechanics, we discuss the delay time pure potentials. The study shows in which energy region it is possible to amplify difference between and complex mechanics.
We show in which conditions optical gaussian beams, propagating throughout an homogeneous dielectric right angle prism, present asymmetric Goos-H\"anchen (GH) effect. This behavior is seen for incidence at critical angles and happens the propagation direction of outgoing beam. The GH effect can be also as amplification standard shift. Due to fact that it only depends on ratio between wavelength minimal waist size incoming beam, used determine one these parameters. Multiple peaks interference...
The mean-field Kuramoto model for synchronization of phase oscillators with an asymmetric bimodal frequency distribution is analyzed. Breaking the reflection symmetry facilitates oscillator to rotating wave phases. Numerical simulations support results based on bifurcation theory and high-frequency calculations. In latter case, order parameter a linear superposition parameters corresponding counterrotating
We study the bound-state solutions of vanishing angular momentum in a quaternionic spherical square-well potential finite depth. As standard quantum mechanics, such occur for discrete values energy. At first glance, it seems that continuity conditions impose very restrictive constraint on energy eigenvalues and, consequently, no bound states were expected below pure potential. Nevertheless, careful analysis shows potentials do not remove states. It is also interesting to compare these new...
The purpose of this paper is to show how the problem finding zeros ofunilateral n-order quaternionic polynomials can be solved by determining eigenvectors corresponding companion matrix. This approach, probably superfluous in case quadratic equations for which a closed formula given, becomes truly useful (unilateral) polynomials. To understand strength method, it compared with Niven algorithm and shown where (full) matrix approach improves previous methods based on use algorithm. For...
In order to obtain a consistent formulation of octonionic quantum mechanics (OQM), we introduce left-right barred operators. Such operators enable us find the translation rules between numbers and 8×8 real matrices (a is also given for 4×4 complex matrices). We develop an relativistic free wave equation, linear in derivatives. Even if functions are only one-component show that four independent solutions, corresponding those Dirac exist.