 Free-space fourth-moment propagator

ID: free-space-fourth-moment-propagator

Codex  0 Created 2026-09-28 Updated 2026-10-05

For

m_{x} = (i / k) m_{r_{1} r_{2}}

, the free-space fourth-moment propagator multiplies the two-dimensional Fourier transform by

e^{- i x p_{1} p_{2} / k}

. In physical coordinates its oscillatory kernel is

K_{x} (r_{1}, r_{2}) = \frac{k}{2 π x} e^{ik r_{1} r_{2} / x} .

 New to topics? Read the docs here!