On the second-order theory of the dielectric response function and of the spin susceptibility of the electron gas

Abstract

We complete an expression of the dielectric response function χ( Q, ω) of the electron gas, which has been derived in an earlier paper and derive to the same order the longitudinal spin response function χ zz ( Q, ω). The local field corrections of these response functions will be discussed in the large wave number limit. Using exact relations of Niklasson and of Zhou and Overhauser we obtain the value of the pair distribution function g( r ) at r = 0 in agreement with Kimball's result. Further we answer to some criticism concerning earlier work, raised recently in this journal.