PROPERTIES of PAULI MATRICES - Tutorial series on Spin [Part 8]

In this video I prove three useful properties of Pauli matrices, namely: 1. Pauli matrices square to Identity matrices: sigma^2 = I 2. Anti-commutator of Pauli matrices is 0, or Pauli matrices Anti-commute: {sigma_i, sigma_j} = 2 delta_ij I 3. Pauli matrices are traceless: tr (sigma) = 0 I also mention some additional information regarding Clifford Algebra. Timestamps: 0:00 Pauli matrices square to Identity matrices 2:37 Pauli matrices anti-commute 8:22 Pauli matrices are traceless. 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 #PauliMatrices #Spin #Pauli