Green's function

A Green's Function is a mathematical tool used to solve differential equations, especially in physics and engineering. It represents how a system responds to an impulse or point source. Imagine dropping a stone in a pond: the ripples illustrate how the water (the system) reacts to that one disturbance (the impulse). By knowing the Green's Function, we can determine the system's behavior for any initial condition or force applied, allowing us to analyze complex problems in areas like heat conduction, wave propagation, and quantum mechanics, among others.