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

Описание к видео Spinors for Beginners 22: Dirac Equation and Gamma Matrices Deep Dive (+ chirality)

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Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNot...

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

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