Finding Eigenvalues of Angular Momentum in Quantum Mechanics скачать в хорошем качестве

Finding Eigenvalues of Angular Momentum in Quantum Mechanics

In this video I will determine the eigenvalues of Angular Momentum in Quantum Mechanics by using ladder operator method. 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 Angular Momentum in QM? 00:55 Determining angular momentum (Lx, Ly, Lz) 05:40 Commutator of Lx,Ly 14:20 Analyzing total angular momentum 18:08 Commutator of L^2 and Lx 23:16 Eigenvalues of L^2 and Lz 24:20 The Raising/Lowering operator 25:50 Checking if it is an eigenvector of L^2 28:50 Looking for eigenvalue of Lz applied to Rais. Lower. operator 38:10 Explaining the effect of Ladder operators 41:55 There has to be a top state 50:50 There has to be a lowest state 55:00 Determining the Eigenvalues and recapping