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Model of Dynamical Correlation in Two-Ionic Strong Coupling Plasmas

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Chohra T., Chenini K., Meftah M., Boukraa A.
Acta Physica Polonica A
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2009
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vol. 116
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issue 2
193-196
EN
The dynamics of an impurity ion of charge q_{0} embedded in a two-component ionic plasma is represented as that of a particle in a random medium. The effect of the surroundings on the impurity is represented by a memory function whose form is proposed in this work. Our choice stands for the strongly coupled plasma for which the memory function has an oscillatory behavior with the plasma frequency. The model therefore describes the plasma in the strong coupling limit. We first derive a master equation governed by this memory function and, with the help of the Laplace transform, we solve it via a quartic algebraic equation. We calculate in the end the dynamical properties, i.e. the autocorrelation functions which are very useful in many areas of plasma physics as in radiative transport and in spectral line shape broadening theories.
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Green Function on a Quantum Disk for the Helmholtz Problem

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Benali B., Boudjedaa B., Meftah M.
Acta Physica Polonica A
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2013
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vol. 124
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issue 4
636-640
EN
In this work, we present a new result which concerns the derivation of the Green function relative to the time-independent Schrödinger equation in two-dimensional space. The system considered in this work is a quantal particle that moves in an axi-symmetric potential. At first, we have assumed that the potential V(r) to be equal to a constant V_0 inside a disk (radius a) and to be equal to zero outside the disk. We have used, to derive the Green function, the continuity of the solution and of its first derivative, at r=a (at the edge). Secondly, we have assumed that the potential V(r) is equal to zero inside the disk and is equal to V_0 outside the disk (the inverted potential). Here, also we have used the continuity of the solution and its derivative to obtain the associate Green function showing the discrete spectra of the Hamiltonian.
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