Green’s functions is a very powerful and clever technique to solve many differential equations, and since differential equations are the language of lots of physics, including both classical mechanics, electrodynamics, and even quantum field theory, so it is important to know how it works. Of course, this includes some explanation and perhaps a pretty different motivation for Dirac delta function, which is pretty weird, but also not really when you think about it a different way.
Correction: in 19:11, the Green’s function lacks a factor of 1/m.
This video simply aims to introduce the Green’s functions, what it is supposed to do, how the motivation of it all comes to be, and why it works. If you do need a lot more than introductory knowledge on Green’s functions, and you are comfortable in basic differential equation solving, here are some links:
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