Method of Images and Green functions in Quantum Field Theory

Traditional Laplace equation solutions techniques for a system of conductors rely on the fact that the Green function for solving Laplace’s equation represents the potential due to an image charge distribution ([1] Sections 1.10 and 2.1-2.6, for example). I would like to know whether the connection between the method of images and Green functions holds up similarly in the context of QFT.

For example, for the Schrödinger equation,
$$left[hat{H} – ifrac{d}{dt}right]phi(x,t)=0$$
we suppose there is a Green function $G(x,t,x’,t’)$ that satisfies

$$left[hat{H} – ifrac{d}{dt}right]G(x,t,x’,t’)=-idelta(x-x’)delta(t-t’)$$

In [2] (and many more), this Green function is identified as the propagator that evolves the quantum state in spacetime from $phi(x,t)rightarrow phi(x’, t’)$. But this diverges from the E&M technique since $G$ does not directly recover the solution for Schrödinger’s equation (but is instead used to propagate an initial state).

My question is, is there an interpretation that can explain Green functions and propagators in QFT in terms of method of images?

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[1] Jackson, J.D. Classical Electrodynamics

[2] Lancaster and Blundel, Quantum field theory for the gifted amateur