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

Published: 01 January 1970
on channel: eigenchris
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Full spinors playlist:    • Spinors for Beginners  
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Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNot...

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:    • Relativity 104a: Special Relativity -...  
Lorentz Transformation Derivation 2:    • Relativity 104b: Special Relativity -...  
Time Dilation + Length Contraction:    • Relativity 104c: Special Relativity -...  
Spacetime Interval:    • Relativity 104e: Special Relativity -...  

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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