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International Review of PHYSICS - October 2007 - Papers

 

   

 

International Review of PHYSICS - Papers

go to top   The Role of the Exclusion Principle for Atoms to Stars: A Historical Account
        by N. Straumann

 

Abstract - In a first historical part I shall give a detailed description of how Pauli discovered – before the advent of the new quantum mechanics – his exclusion principle. The second part is devoted to the insight and results that have been obtained in more recent times in our understanding of the stability of matter in bulk, both for ordinary matter (like stones) and self-gravitating bodies.

Copyright © 2007 Praise Worthy Prize S.r.l. - All rights reserved

 

Keywords: Exclusion Principle, Atoms, Stars.

 


 

go to top    A Simple Solution of the Time-Independent Schrödinger Equation in One Dimension and Some Applications
 
        by H. H. Erbil

 

Abstract - We found a simple procedure for the solution of the time-independent Schrödinger equation in one dimension without making any approximation. The wave functions are always periodic. Two difficulties may be encountered: one is to solve the equation E = U(x), where E and U(x) are the total and potential energies, respectively, and the other is to calculate the integral ∫√U(x)dx. If these calculations cannot be made analytically, it should then be performed by numerical methods. To find the energy and the wave function of the ground state, there is no need to calculate this integral, it is sufficient to find the classical turning points, that is to solve the equation E = U(x). A particle in an infinitely high potential well of arbitrary form was solved by employing a simple procedure without making any approximation. Two different solutions were obtained, namely, symmetric and antisymmetric. These solutions are always damped periodic functions.

Copyright © 2007 Praise Worthy Prize S.r.l. - All rights reserved

 

Keywords: The Schrödinger Equation, Infinitely High Potential Well.

 


 

go to top    (Anti-lambda cero) Polarization in Particle-Nucleus Reactions
         by J. Félix

 

Abstract - Average (Anti-lambda cero) polarization created in particle-Nucleus collisions depends on the scaling Feynman parameter of (Anti-lambda cero) (xF), the transversal (Anti-lambda cero) momentum with respect to the incoming beam particle (PT), and  (Anti-lambda cero) (lambda cero)  invariant mass as follows: As function of xF and PT, average  (Anti-lambda cero) polarization from inclusive and exclusive particle-Nucleus reactions is described very well by P(xF, PT)=axFPT, within statistical errors, in −1.0<xF<+1.0 and 0.0<PT<1.8 GeV. a is independent of the beam-particle energy and dependent of both target and beam nature as follows: In K+p reactions, a=+1.142±0.231 (GeV)-1, χ2/dof=0.78; in (Antiproton-proton) reactions, a=−0.343±0.073 (GeV)-1, χ2/dof=0.69; in pBe reactions, a=+0.030±0.016 (GeV)-1, χ2/dof=0.81; in Σ(C+Cu) reactions, a=+0.008±0.012 (GeV)-1, χ2/dof=0.37; in (Antiproton-proton) reactions, a=−1.434±0.118 (GeV)-1, χ2/dof=1.16. As function of xF and PT,  (Anti-lambda cero) polarization is akin to (lambda cero) polarization when the strange baryons are produced in identical symmetric physical conditions. P(xF, PT)=axFPT is the most simple bilinear form that describes average  (Anti-lambda cero) polarization from inclusive and exclusive particle-Nucleus reactions in −1.0<xF<+1.0 and 0.0<PT<1.8 GeV. As function of (Anti-lambda cero) (lambda cero) invariant mass, from (Antiproton-proton) ->  (Anti-lambda cero) (lambda cero) reactions, average  (Anti-lambda cero) polarization is roughly a monotonic decreasing function: At ~2.5 GeV, close to (Anti-lambda cero) (lambda cero) mass threshold, (Anti-lambda cero) polarization is ~ +0.250±0.175, it decreases to zero -as (Anti-lambda cero) (lambda cero) invariant mass increases-, and goes to ~ −0.420±0.260 at ~3.626 GeV. This (Anti-lambda cero) polarization behavior is analogous to (lambda cero) polarization from Proton-proton reaction -> Fast proton (lambda cero) (Kaon plus) at 800 GeV as function of (lambda cero) (Kaon plus) invariant mass.
Copyright © 2007 Praise Worthy Prize S.r.l. - All rights reserved

 

Keywords: Antilambda; baryon; (Anti-lambda cero) (lambda cero) invariant mass; (Anti-lambda cero) (lambda cero) polarization.

 


 

go to top   Analysis of the Quasi Periodic Scenario Leading to Chaos in a Square Cavity
        by S. Laouar, E. Mezaache, M. Daguenet

 

Abstract - Thermal natural convection of air (Pr = 0,71) in a two dimensional square cavity with two vertical walls nonuniformly heated and the two others held adiabatic, is studied numerically. With increasing Rayleigh number (considered here as a control parameter), the system transits to oscillatory regime via a super critical Hopf bifurcation followed by an under critical Hopf bifurcation at critical Rayleigh number of 4,26x106. As Rayleigh number increases further a quasi-periodic regime with two frequencies settles. While continuing to increase Rayleigh number, the ratio between the two fundamental frequencies becomes rational. In this case, phase-locking motion is the main regime before chaos. Chaotic state is observed for Rayleigh number greater than 1,4x107. The system is sensitive to initial conditions. All numerical results have been characterized by looking to the Poincaré sections and phase portraits. For the chaotic state, the largest Lyapunov exponent is positive and the attractor dimension is fractional.

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Keywords: Chaos, Fractal Dimension, Lyapunov Exponent, Natural Convection, Strange Attractor.

 


 

go to top  Improved Approximation of the Free-space Fresnel Diffraction by the Fractional Fourier Transform
        by S. Boucherit, L. Bouamama, M. Bouafia, G. Wernicke

 

Abstract - The Fresnel diffraction of an object illuminated by a plane wave, in the free space propagation, is of great interest in several optical applications, mainly, for numerical reconstruction of holograms in digital holography. The Fractional Fourier transform (FrFT) seems to be a convenient tool for the approximation of such diffraction. It was pointed out in several works, that this approximation is valid only under the appropriate values of the parameters of the FrFT and with respect of certain restrictive conditions. However the result still suffers from errors due to the scaling factors and the accuracy of the approximation will be lost if we move away the central order.
In this paper we present an analytical approach based on FrFT permitting to describe the Fresnel diffraction in the free space propagation with a very good precision on the whole pattern of diffraction including, low and high frequencies.

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Keywords: Fresnel diffraction, Fractional Fourier transforms.

 


 

go to top   QED BRS Quantization in the Non commutative Space-time Geometry
        by N. Mebarki, M. Harrat, M. Boussahel, O. Benabbés

 

Abstract - Using Seiberg-Witten maps approach to non commutative space-time QED , nilpotent generalized BRS and anti-BRS transformations as well as Fadeev-Popov and modified gauge fixing terms are obtained. Moreover, and up to the second order of the noncommutativity parameter, modified field equations and conserved BRS current are derived. Furthermore, some clarifications about the preservation of the space-time noncommutative commutation relations are also presented.

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Keywords:  BRST Quantization, Gauge Theories, Non Commutative Geometry.

 


 

go to top    Innovative Concepts of Dual-Species Proton/Carbon Medical Synchrotrons
        by M. Pavlovič, V. Nečas, E. Griesmayer, T. Schreiner

 

Abstract - Hospital-based facilities offering treatments with low-LET and high-LET particles delivered by a common particle accelerator (LET = Linear Energy Transfer) are one of the recent trends in ion therapy. Protons and carbon ions are considered to be the best particle species for low-LET and high-LET treatments, respectively. Innovative concepts of proton/carbon medical synchrotrons based on the acceleration of molecular hydrogen ions for generation of protons are presented in the paper. These concepts do not compromise the medical requirements, but they are expected to bring several major advantages concerning the design, operation and cost of the accelerator: (1) shrinking the overall magnetic beam rigidity span of extracted beams, (2) reducing the space charge of a hydrogen beam at the injection, (3) a compact dual-species injector layout and (4) making a charge-exchange extraction technique at FFAG (Fixed Field Alternating Gradient) synchrotrons possible. Further potential advantages concern the power supplies (especially the ripple), field quality of the bending magnets and time structure of the extracted spills.

Copyright © 2007 Praise Worthy Prize S.r.l. - All rights reserved

 

Keywords: FFAG, Ion therapy, Medical accelerator, Synchrotron.

 


 

go to top   Hydrogen and Carbon Effect on Cu-4%at.Be Alloy Oxidised Surface
        by S. Belkhiat, F. Keraghel

 

Abstract - Auger electron spectroscopy (AES) has been used to study Be segregation on Cu-4%at. Be alloy surface. In this work, the surface atomic composition was followed as a function of temperature at the surface, in hydrogen atmosphere. The activation energy of Be segregation has been experimentally determined. The result is in agreement with the theoretical value. It has been found that in hydrogen atmosphere, the segregation energy of Be decreases and molecular adsorption occurs at the oxidized Cu-Be alloy surface. Hydrogen and oxygen effects are discussed in terms of formation heats of Be (OH)2, Cu (OH)2 , BeH, BeH2 and CuH chemical components in the alloy matrix.

Copyright © 2007 Praise Worthy Prize S.r.l. - All rights reserved

 

Keywords: Cu-4%at. Be, segregation energy, Cu (OH)2, BeH2, BeH, Be (OH)2.

 


 

go to top   Precipitation Kinetics of the Hardening Phase in Two 6061 Aluminium Alloys
        by Y. Aouabdia, S. Hamamda, A. Boubertakh

 

Abstract - The purpose of this work is to study the kinetics of the precipitation of the hardening phase in two commercial age-hardenable Al–Mg–Si alloys. A review of the theoretical framework for solid-state reactions kinetics and the determination of kinetic parameters from DSC curves is provided, then used to quantify β" precipitation in the two alloys studied. Despite failure to achieve high levels of accuracy, due, in particular, to the dilution of the alloys, the procedure to analyse this precipitation reaction yields valuable results. It is established that β" precipitates homogenously as needles which grow through an enhanced-diffusion mechanism.

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Keywords: Activation energy, Aluminium alloys, β" phase, Precipitation, Reactions kinetics.

 


 

go to top   DBD Treatment of Textiles

        by R. Morent, N. De Geyter, C. Leys

 

Abstract - Dielectric barrier discharges (DBDs) are non-thermal plasmas which exist in a broad pressure range. A characteristic feature is that at least one electrode is covered by an insulating layer. They are able to effectively generate atoms, radicals and other excited species by energetic electrons. Therefore, they are widely used for industrial applications. Typical applications are ozone generation, environmental pollution control, excimer lamps, CO2-lasers, plasma displays and surface modification. In this paper, the literature on the application of DBDs for the treatment of textile materials is reviewed.

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Keywords: dielectric barrier discharge, textile, surface modification.

 


 

go to top   Rheology of Dilute Polymer Solutions with Time-Dependent Screening of Hydrodynamic Interactions

        by V. Lisy, J. Tothova, B. Brutovsky

 

Abstract - The screening of hydrodynamic interactions (HI) essentially affects macroscopic properties of polymeric solutions. This screening depends not only on the polymer concentration, but has a dynamic nature. In the present work, a bead-spring theory is developed, in which this phenomenon is described for solutions of nonentangled polymer coils. The equation of motion for the beads of a test polymer is solved together with the Brinkman’s equation for the solvent velocity that takes into account the presence of other coils in solution. The time correlation functions for the polymer normal modes are found. A tendency to the screening of HI is demonstrated on the coil diffusion as well as on the relaxation of its internal modes. With the growing concentration of the coils they both show a transition to the exact Rouse behavior. The viscosity of the solution and some other observable quantities are calculated. As the time increases, the time-dependent quantities change their behavior from the Rouse regime through the Zimm one again to the Rouse dynamics at long times.

Copyright © 2007 Praise Worthy Prize S.r.l. - All rights reserved

 

Keywords: Hydrodynamics, Polymer Solution, Rheology, Screening of Hydrodynamic Interaction.

 


 

go to top   A Neural Approach to Study the Transport Coefficients in the Crystalline Silicon

        by D. Arar, F. Djeffal, T. Bendib

 

Abstract - The study of the transport coefficients in electronic devices is currently carried out by analytical or numerical models. This study requires several simplifying assumptions, generally necessary to lead to analytical expressions in order to study the various electric characteristics of the electronic device. However, the neural modeling which constitutes the aim of our work does not use in theory any simplifying assumption. In our case, we use the Artificial Neural Networks (ANNs) as a computational tool to develop analytical approaches in order to study the transport phenomenon of the charge carriers (electrons or holes) in crystalline silicon as function of the temperature, doping concentration and the applied electric field. The developed analytical approaches can also be incorporated into the circuits simulators to study solid-state devices without impact on the computational time and data storage.

Copyright © 2007 Praise Worthy Prize S.r.l. - All rights reserved

 

Keywords: Transport coefficients, Neural computation, High fields, Temperature, Doping.

 


 

go to top   Fibre-optic Interferometric Optical Filter for Spectral Resolution of Closely Spaced Frequencies

        by K. De Souza

 

Abstract - Narrowband optical filters are used in many applications to separate two signals of closely spaced frequencies. The filter’s performance is a function of its throughput and rejection. For weak signals, the filter should provide both high throughput of the wanted signal and high rejection of the adjacent unwanted signal. A double-pass configured all-fibre Mach-Zehnder interferometric optical filter fulfils these requirements. The configuration is described and theoretically compared with a single-pass all-fibre Mach-Zehnder interferometer and a bulk Fabry-Perot interferometer operated in both transmission and reflection modes and shown to have superior performance for certain applications. The spectral responses and rejections of the single-pass and double-pass Mach-Zehnder interferometers are determined experimentally and agree with theory. Observation of polarization effects in the double-pass Mach-Zehnder interferometer is also presented.

Copyright © 2007 Praise Worthy Prize S.r.l. - All rights reserved

 

Keywords: Brillouin scattering, fibre-optic sensor, filters, interferometry, Rayleigh scattering.

 



 
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