Figure 1
From: X-ray Thomson scattering absolute intensity from the f-sum rule in the imaginary-time domain
(a) Synthetic XRTS intensity for a uniform (free) electron gas at \(r_s=2\) and \(\Theta =1\) (\(T=12.53\,\)eV) with the Fermi wave number \(q_\text {F}=1.81\,\)Å\(^{-1}\). The dynamic structure factors \(S_{ee}(\textbf{q},\omega )\) for \(q=3q_\text {F}\) (solid green) and \(q=0.5q_\text {F}\) (dashed red) have been convolved with a Gaussian instrument function of width \(\sigma =3.33\,\)eV. (b) Corresponding ITCF, cf. Eq. (2). The dotted black lines show asymptotic linear expansions around \(\tau =0\) and have been obtained from the f-sum rule.
