Clebsch–Gordan Coefficients Explained скачать в хорошем качестве

Clebsch–Gordan Coefficients Explained

In this video, we will talk about Clebsch-Gordan coefficients. We'll discuss their definition, and explain how to use them. Clebsch-Gordan coefficients are named after the German mathematicians Alfred Clebsch and Paul Gordan. The coefficients are defined like this: Clebsch-Gordan coefficients are the expansion coefficients of total angular momentum eigenstates in an uncoupled tensor product basis. 00:00 Introduction 00:14 Definition 00:29 Coupling Angular Momenta 01:11 Product Basis 01:33 Coupled Basis 02:26 Mathematical Background 03:05 How to Use Them? 04:01 4 Steps to CG Coefficients 04:38 Example 1 05:06 Example 2 05:30 Example 3 05:49 Hidden Zeroes 06:21 Going Both Ways References: [1] Sakurai, "Modern Quantum Mechanics" [2] http://pdg.lbl.gov/2019/reviews/rpp20... [3] https://en.wikipedia.org/wiki/Clebsch... Follow us on Instagram:   / prettymuchvideo   If you want to help us get rid of ads on YouTube, you can support us on Patreon!   / prettymuchphysics