Noether's Theorem and the Momentum of the Klein-Gordon Field

In this video I will prove noether's theorem and use it to derive equation 2.18 and 2.19 from peskin and schroeder's QFT book. We will find the conserved charges associated to the Klein-Gordon field under spacetime translation, which will turn out to be the energy and momentum of the field!

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My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Introducing the necessity for studying symmetries
00:45 What is a symmetry?
01:45 Introducing Noether's Theorem (conserved currents)
02:57 Proving Noether's Theorem
12:00 Introducing Noether's Theorem (Conserved Charges)
12:54 Proving it
15:10 Example - Finding the Energy-Momentum Tensor for Klein-Gordon field
27:30 Please consider supporting me on my patreon!