Eur. Phys. J. Plus (2016) 131: 114
https://doi.org/10.1140/epjp/i2016-16114-7

Regular Article

Efficient technique to evaluate the Lindhard dielectric function

¹ Théorie, Modélisation, Simulation, SRSMC, UMR CNRS 7565, Université de Lorraine, 57078, Metz, France
² Univ. Bordeaux, F-33400, Talence, France

^* e-mail: ugo.ancarani@univ-lorraine.fr

Received: 15 December 2015
Revised: 22 February 2016
Accepted: 28 February 2016
Published online: 22 April 2016

Abstract

In this work, we consider the evaluation of the Lindhard dielectric function which is the basic ingredient of many theories in various areas of physics like Solid State Physics, Plasma Physics, Atomic Physics in plasmas and Nuclear Physics. The typical divergency of the real part is removed through a simple but efficient mathematical transformation. The remaining integral is trouble-free, and can be dealt with any standard numerical quadrature. Due to the very wide use of the Lindhard dielectric function (and its extensions) in many branches of Physics, we believe that the present work will be useful to many researchers.