- #1

MalleusScientiarum

## Main Question or Discussion Point

I have a question regarding the two-particle density function, in particular its Fourier transform. I know that in a liquid or gas the function [tex]n_2(\mathbf{R}_1, \mathbf{R}_2)[/tex] is the probability that two particles will be found at [tex]\mathbf{R}_1[/tex] and [tex]\mathbf{R}_2[/tex]. But what is the significance of its Fourier transform,

[tex]G(\mathbf{k}) = \frac{1}{2} \int d^{3N}\mathbf{R}_1 d^{3N}\mathbf{R}_2 e^{\imath \mathbf{k}\cdot(\mathbf{R}_1 - \mathbf{R}_2)} n_2(\mathbf{R}_1, \mathbf{R}_2) [/tex]

My guess is that it is some sort of momentum distribution, but that's only a guess.

[tex]G(\mathbf{k}) = \frac{1}{2} \int d^{3N}\mathbf{R}_1 d^{3N}\mathbf{R}_2 e^{\imath \mathbf{k}\cdot(\mathbf{R}_1 - \mathbf{R}_2)} n_2(\mathbf{R}_1, \mathbf{R}_2) [/tex]

My guess is that it is some sort of momentum distribution, but that's only a guess.