Determining the eigenfunctions of the Angular Momentum Operators

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In this video I will Determine the eigenfunctions of the Angular Momentum Operators.

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 Why do we care about the eigenfunctions?
01:40 Determining Lx, Ly, Lz
10:40 Solving the first equation
13:00 Solving the second equation
13:20 Determining the L+- operators in explicit form
21:10 Calculating the product L+L-
39.10 substituting into the equation
51:00 The eigenfunctions
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