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Currently Playing: Spinors for Beginners 22: Dirac Equation and Gamma Matrices Deep Dive (+ chirality)

Full spinors playlist: https://www.youtube.com/playlist?list=PLJHszsWbB6hoOo_wMb0b6T44KM_ABZtBs Leave me a tip: https://ko-fi.com/eigenchris Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNotes/tree/master/SpinorsForBeginners 0:00 - Derivation of Dirac Equation 6:58 - Gamma Matrices and Spinor Indices 9:33 - 2x2 Vector Representation (sigmas) 13:26 - 4x4 Vector Representation (gammas) 19:32 - Clifford Algebra Interpretation 22:04 - Dirac Equation Lorentz Invariance 26:34 - Chirality 28:23 - γ5 (parity operator) 31:43 - More parity transformations 35:33 - Dirac Adjoint Spinor 40:22 - γt (parity swap) 42:44 - Conserved Dirac Current 47:00 - Matter and Anti-matter 51:58 - Summary