Spherical Tensor Operators | Wigner D-Matrices | Clebsch–Gordan & Wigner–Eckart
Автор: Pretty Much Physics
Загружено: 2020-06-14
Просмотров: 28357
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
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