Doppler Broadening of Spectral Line Shapes in Relativistic Plasmas

In this work, we report some relativistic effects on the spectral line broadening. In particular, we give a new Doppler broadening in extra hot plasmas that takes into account the possible high velocity of the emitters. This suggests the use of an appropriate distribution of the velocities for the emitters. Indeed, the Juttner-Maxwell distribution of the velocities is more adequate for relativistic velocities of the emitters when the latter are in plasma with an extra high temperature. We find an asymmetry in the Doppler line shapes unlike the case of the traditional Doppler effect

Analytical calculation of site and surface reaction probabilities of SiH

In this work we present a theoretical and mathematical relationship which calculates the site reaction probability (SRP) of the sticking on (Si-) dangling bonds (DB) or the SRP to abstract H from (Si-H) bonds, on the a-Si:H surface. The results are in agreement with those obtained by the Monte Carlo simulation. Using these probabilities allowed us to compute the surface reaction probability of SiHx radicals on a-Si:H for several values of the temperature. The surface reaction probability (SFRP) results show also an excellent agreement with other works found in the literature

Green's Function for A Piecewise Continous Potential via Integral Equations Method

The aim of this work is to provide Green's function for the Schrodingerequation. The potential part in the Hamiltonian is piecewise continuous operator.It is a zero operator on a disk of radius "a" and a constant V0 outside this disk (intwo dimensions). We have used, to construct the Green's function, the technique ofthe integral equations. We have respected the boundary conditions of the problem.The discrete spectra of the Hamiltonian operator have been also derived

The space–time-fractional derivatives order effect of Caputo–Fabrizio on the doping profiles for formation a p-n junction

In this study, we treated the space–time-fractional diffusion equation in a semi-infinite medium using a recently developed fractional derivative introduced by Caputo and Fabrizio. Our main focus was on simulating the diffusion profiles during the creation of a p-n junction according to the obtained solution. We made an interesting observation regarding the influence of the fractional-order derivatives on the depth estimation of the p-n junction. Increasing the order of the time-fractional derivative, denoted as $$\alpha$$, resulted in faster diffusion and deeper p-n junctions. On the other hand, increasing the order of the space fractional derivative, denoted as $$\beta$$, led to slower diffusion and shallower p-n junctions. These findings demonstrate the significant impact of the fractional derivative orders on the diffusion behavior and depth characteristics of the p-n junction in the studied system

Doppler Broadening of Spectral Line Shapes in Relativistic Plasmas

In this work, we report some relativistic effects on the spectral line broadening. In particular, we give a new Doppler broadening in extra hot plasmas that takes into account the possible high velocity of the emitters. This suggests the use of an appropriate distribution of the velocities for the emitters. Indeed, the Juttner-Maxwell distribution of the velocities is more adequate for relativistic velocities of the emitters when the latter are in plasma with an extra high temperature. We find an asymmetry in the Doppler line shapes unlike the case of the traditional Doppler effect

Contribution of Lienard-Wiechert Potential to the Electron Broadening of Spectral Lines in Plasmas

Lienard-Wiechert or retarded electric and magnetic fields are produced by moving electric charges with respect to a rest frame. In hot plasmas, such fields may be created by high velocity free electrons. The resulting electric field has a relativistic expression that depends on the ratio of the free electron velocity to the speed of light in vacuum c. In this work, we consider the semi-classical dipole interaction between the emitter ions and the Lienard-Wiechert electric field of the free electrons and compute its contribution to the broadening of the spectral line shape in hot and dense plasmas

Effect of the Ions on the Electron Collision Operator through Electronic Trajectory Modification

We investigate the ion effect on the broadening of the spectral line profile by the free electrons collisions with the emitters in plasmas. We only considered the weak collisions’ contribution. This effect has a consequence on the trajectories of the free electrons through the electric microfield created by the ions of the plasma. Thanks to the Meijer’s functions, the calculation of the electronic Stark broadening is precisely established

Функция Грина квантовой частицы, движущейся в двумерном кольцевом потенциале

In this work, we present a new result which concerns the obtainment of the Green function relative to the time-independent Schrodinger equation in two dimensional space. The system considered in this work is a particle that have an energy E and moves in an axi-symmetrical potential. Precisely, we have assumed that the potential (V (r)), in which the particle moves, to be equal to zero inside an annular region (radius b) and to be equal a positive constant (V0) in a crown of internal radius b and external radius a (b a). We have explored the bounded states regime for which (E < V0). We have used, to obtain the Green function, the continuity of the solution and of its derivative at (r = b) and (r = a): We have obtained the associate Green function and the discrete spectra of the Hamiltonian in the region (r < b)В этой работе мы представляем новый результат, который касается получения функции Грина относительно не зависящего от времени уравнения Шредингера в двумерном пространстве. Система, рассматриваемая в этой работе, представляет собой частицу, обладающую энергией E и движущуюся в осесимметричном потенциале. Точнее, мы предположили, что потенциал (V (r)), в котором движется частица, равен нулю внутри кольцевой области (радиус b) и равен положительной постоянной (V0) в кольце внутреннего радиуса b и внешнего радиусa (b < a) и равен нулю за пределами кольца (r > a). Мы исследовали режим ограниченных состояний, для которого (E < V0). Для получения функции Грина мы использовали непрерывность решения и его производной в точках (r = b) и (r = a). Мы получили ассоциированную функцию Грина и дискретные спектры гамильтониана в области (r < b

Фаза Берри для нестационарных связанных гармонических осцилляторов в некоммутативном фазовом пространстве с помощью методов интеграла по траектории

The purpose of this paper is the description of Berry’s phase, in the Euclidean Path Integral formalism, for 2D quadratic system: two time dependent coupled harmonic oscillators. This treatment is achieved by using the adiabatic approximation in the commutative and noncommutative phase spaceЦелью данной работы является описание фазы Берри в формализме евклидова интеграла по путям для двумерной квадратичной системы: двух связанных во времени гармонических осцилляторов. Эта обработка достигается с помощью адиабатического приближения в коммутативном и некоммутативном фазовом пространств

Abstracts of 1st International Conference on Computational & Applied Physics

This book contains the abstracts of the papers presented at the International Conference on Computational &amp; Applied Physics (ICCAP’2021) Organized by the Surfaces, Interfaces and Thin Films Laboratory (LASICOM), Department of Physics, Faculty of Science, University Saad Dahleb Blida 1, Algeria, held on 26–28 September 2021. The Conference had a variety of Plenary Lectures, Oral sessions, and E-Poster Presentations. Conference Title: 1st International Conference on Computational &amp; Applied PhysicsConference Acronym: ICCAP’2021Conference Date: 26–28 September 2021Conference Location: Online (Virtual Conference)Conference Organizer: Surfaces, Interfaces, and Thin Films Laboratory (LASICOM), Department of Physics, Faculty of Science, University Saad Dahleb Blida 1, Algeria