Youtor
Angular Momentum in Quantum Mechanics
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=59_HZp-sDbo
In this video we start with the classical definition of angular momentum and as position and momentum are operators in quantum mechanics, we replace x and p with their corresponding operators to find the expressions for angular momentum. Then we find a lot of commutation relations for the angular momentum operators with each other and also with position and momentum operators. • By using these commutation relations and also introducing raising and lowering operators, we can find the eigenvalues of angular momentum without finding the eigenfunctions. • In the following videos I'm going to find the eigenfunctions and also show you how they are shown in matrix form. • • 00:00 Angular Momentum definition and commutation relations • 11:34 General angular momentum (J) • 14:13 Raising and Lowering operators • 18:41 Eigenvalues of angular momentum • 25:20 How do raising and lowering operators change the eigenfunctions of Jz
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