Spinors for Beginners
24 videos • 235,293 views • by eigenchris
1
Spinors for Beginners 1: Introduction (Overview +Table of Contents for video series)
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2
Spinors for Beginners 2: Jones Vectors and Light Polarization
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3
Spinors for Beginners 3: Polarizations and SU(2) Matrices [and O(3), SO(3), U(2)]
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4
Spinors for Beginners 4: Quantum Spin States (Stern-Gerlach Experiment)
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5
Spinors for Beginners 5: The Flagpole and Complex Projective Line (CP1)
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6
Spinors for Beginners 6: Pauli Vectors and Pauli Matrices
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7
Spinors for Beginners 6.1 - Equivalence of Quaternions, Sigma Matrices, and SU(2)
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8
Spinors for Beginners 7: Square Root of a Vector (factoring vector into spinors)
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9
Spinors for Beginners 8: Are the Pauli Matrices also Vectors? (Intro to Spinor Spaces)
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10
Spinors for Beginners 9: Pauli Spinors vs Weyl Spinors vs Dirac Spinors
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11
Spinors for Beginners 10: SU(2) double covers SO(3) [ SL(2,C) double covers SO+(1,3) ]
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12
Spinors for Beginners 11: What is a Clifford Algebra? (and Geometric, Grassmann, Exterior Algebras)
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13
Spinors for Beginners 12: How the Spin Group Generalizes Quaternions to any Dimension
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14
Spinors for Beginners 13: Ideals and Projectors (Idempotents)
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15
Spinors for Beginners 14: Minimal Left Ideals (and Pacwoman Property)
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16
Spinors for Beginners 15: Nilpotents, Fermions, and Maximally Isotropic Subspaces
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17
Spinors for Beginners 16: Lie Groups and Lie Algebras
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18
Spinors for Beginners 17: The spin 1/2 representations of SU(2) and SL(2,C)
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19
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20
Spinors for Beginners 18: Irreducible Representations of SU(2) (Ladder Operators)
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21
Spinors for Beginners 19: Tensor Product Representations of su(2) [Clebsch-Gordan coefficients]
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22
Spinors for Beginners 20: Lorentz Group / Algebra Representation Theory
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23
Spinors for Beginners 21: Introduction to Quantum Field Theory from the ground up
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24
Spinors for Beginners 22: Dirac Equation and Gamma Matrices Deep Dive (+ chirality)
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