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Spinors for Beginners 9: Pauli Spinors vs Weyl Spinors vs Dirac Spinors

eigenchris 44,368 2 years ago
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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 Weyl Spinor and Dirac Spinor transformation rules are covered in pages 13-17 of this PDF: https://arxiv.org/pdf/1312.3824.pdf Review of Special Relativity Lorentz Transformation Derivation 1: https://www.youtube.com/watch?v=5bSy18w8Dh0 Lorentz Transformation Derivation 2: https://www.youtube.com/watch?v=240YGZmV1b0 Time Dilation + Length Contraction: https://www.youtube.com/watch?v=WOLUSQK1Jtk Spacetime Interval: https://www.youtube.com/watch?v=km7WTO_6K5s 0:00 Intro / Overview 3:02 Special Relativity Review 4:43 Spacetime Interval 6:16 Lorentz Transformations SO(1,3) 10:12 Weyl Vectors 11:54 Double-Sided Lorentz SL(2,C) 17:45 Weyl Spinors Factoring 24:26 Spinor Inner Products 30:39 Left + Right Chirality 34:45 4 Types of Weyl Spinor (Van der Waerden notation) 43:06 Dirac Spinors 44:17 Conclusion / Review

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