Calculating SPIN MATRICES for an electron: Sz - Tutorial series on Spin [Part 5] скачать в хорошем качестве

Calculating SPIN MATRICES for an electron: Sz - Tutorial series on Spin [Part 5]

In this video, I layout the procedure for finding the matrices corresponding to spin operators specific to an electron (spin-1/2). The procedure can be generalized straightforwardly to an arbitrary non-zero quantum spin. The video explains, why this kind of non-relativistic analysis is not self sufficient, and the particular piece of information regarding the Hilbert space dimension has to be incorporated in an adhoc manner. In this video, I take this information from the experimentally observed eigenvalues for the spin of electron, namely +\hbar /2 and -\hbar /2. I then proceed to give a very detailed calculation for the matrix elements of the z-component of spin operator (S_z) for an electron. I also stress how this matrix form depends on the structure of the basis vectors |s,m_s), which is an important point. In the next tutorial, I continue this video and calculate the matrix elements for S^2 (S), S_x and S_y matrices for an electron. Pre-requisites: Basic knowledge of Quantum Physics and the previous lectures of this series. Previous Lecture [Part 4] :    • EIGENSTATES and EIGENVALUES of SPIN OPERAT...   Next Lecture [Part 6] :    • Calculating SPIN MATRICES for an electron:...   Timestamps: 00:00 Introduction Who am I? I'm Priyanshi Bhasin, a PhD candidate at the Indian Institute of Science (IISc). Follow me on: FB Page:   / bragitoff   FB Page2:   / physwhizforum   IG:   / ___physwhiz___   BLOG: http://bragitoff.com FORUM: http://physwhiz.bragitoff.com #QuantumPhysics #Spin #SpinMatrices #Sz