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The Fourier transform of single particle density : $$\rho(\textbf{k},t)=\int\rho(\textbf r,t)\exp(-i\textbf k.\textbf r)d\textbf r=\sum_j \exp(-i\textbf k.\textbf r(t))$$ The Intermediate Scattering Function(ISF) is defined as : $$F(\textbf k,t)=\frac{1}{N}\Big<\rho(\textbf{k},t)\rho(-\textbf{k},0)\Big>.$$ The quantity $\rho(\textbf{k},t)$ is a complex quantity. My question is : while determining ISF (i.e, $F(\textbf k,t)$ ) in numerical simulations shall I use the real part of $\rho(\textbf{k},t)$ only ? Or, shall I use the magnitude of $\rho(\textbf k,t)$ ?

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