Youtor
Spherical Tensor Operators Wigner DMatrices Clebsch–Gordan amp Wigner–Eckart
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=1XkZSl-1Mrc
In this video, we will explain spherical tensor operators. They are defined like this: A spherical tensor operator T^(k)_q with rank k is a collection of 2k+1 operators that are numbered by the index q, which transform under rotations in the same way as spherical harmonics do. They are also an essential part of the Wigner–Eckart theorem. Now let's try to understand this definition. • References: • [1] Sakurai, Napolitano, Modern Quantum Mechanics . • [2] Thompson, Angular Momentum . • [3] Rand, Lectures on Light , (Appendix H). • You can find how to derive the commutator relations for T^k_q in Ref. [3]. • Contents: • 00:00 Introduction • 01:05 Part 1 Cartesian Tensor Operators • 03:18 Part 2 The Spherical Basis • 11:00 Part 3 Examples • If you want to help us get rid of ads on YouTube, you can support us on Patreon! • / prettymuchphysics
#############################
