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Jijel, Algeria

Haouat S.,Jijel University
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

In this work we have studied the consequences of the minimal length, which arises in many theories of quantum gravity, on the Scattering of a point particle by a spherically symmetric potential. The modified Schrödinger equation is factorized to be of second order in position space representation. For the square well potential analytic expressions for the scattering states are obtained. Then the phase shifts are deduced. It is shown that the minimal length has two effects on the resonant scattering. The first one is that the minimal length increases slightly the resonant cross section and the second is the shift of the position of the resonances. © 2013 The Author. Source

In this paper, the applications of artificial intelligence-based methods for tracking the maximum power point have been reviewed and analysed. The reviewed methods are based upon neural networks, fuzzy logic, evolutionary algorithms, which include genetic algorithms, particle swarm optimization, ant colony optimization, and other hybrid methods. Rapid advances in programmable logic devices (PLDs) including field programmable gate arrays (FPGAs) give good opportunities to integrate efficiently such techniques for real time applications. An attempt is made to highlight the future trends and challenges in the development of embedded intelligent digital maximum power point tracking (MPPT) controllers into FPGA chip. Special attention is also given to the cost, complexity of implementation, efficiency, and possible practical realization. We believe that this review provides valuable information for engineers, designers and scientist working in this area and show future trends in the development of embedded intelligent techniques for renewable energy systems. © 2014 Elsevier Ltd. Source

The Kratzer's potential V(r)=g1/r2-g2/r is studied in quantum mechanics with a generalized uncertainty principle, which includes a minimal length (δX)min=h{stroke}5β. In momentum representation, the Schrödinger equation is a generalized Heun's differential equation, which reduces to a hypergeometric and to a Heun's equations in special cases. We explicitly show that the presence of this finite length regularizes the potential in the range of the coupling constant g1 where the corresponding Hamiltonian is not self-adjoint. In coordinate space, we perturbatively derive an analytical expression for the bound states spectrum in the first order of the deformation parameter β. We qualitatively discuss the effect of the minimal length on the vibration-rotation energy levels of diatomic molecules, through the Kratzer interaction. By comparison with an experimental result of the hydrogen molecule, an upper bound for the minimal length is found to be of about 0.01 Å. We argue that the minimal length would have some physical importance in studying the spectra of such systems. © 2015 Elsevier Inc. Source

Beicha A.,Jijel University
Journal of Power Sources

This paper presents an electrochemical model for simulation and evaluation of the performance of proton exchange membrane (PEM) fuel cell. The results of the model are used to predict the efficiency and power of the fuel cell as a function of operational parameters of the cell, like temperature, partial pressures and membrane humidity. The influence of temperature on fuel cell's characteristics is more pronounced than the influence of partial pressures and membrane humidity. The effect of platinum loading on cell performance is examined with Pt loadings of 0.18, 0.38 and 0.4 mg cm -2. The kinetic parameters (electron transfer coefficient, exchange current density) are found to be platinum loading dependent. © 2012 Elsevier B.V. All rights reserved. Source

Touafek N.,Jijel University | Elsayed E.M.,King Abdulaziz University
Mathematical and Computer Modelling

In this paper we deal with the periodic nature and the form of the solutions of the following systems of rational difference equations xn+1=xn-3±1±xn-3yn-1,yn+1=yn-3±1±yn-3xn-1 with a nonzero real number's initial conditions. © 2011 Elsevier Ltd. Source

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