Spinors for Beginners 17: The spin 1/2 representations of SU(2) and SL(2,C) скачать в хорошем качестве

Spinors for Beginners 17: The spin 1/2 representations of SU(2) and SL(2,C)

Full spinors playlist:    • Spinors for Beginners   Leave me a tip: https://ko-fi.com/eigenchris Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNot... Physics of the Lorentz Group PDF (hints at how to re-write tensor product representation): https://iopscience.iop.org/book/mono/... Previous videos: SfB #6.1 on Bivector-Quaternion equivalence:    • Spinors for Beginners  6.1 - Equivalence o...   SfB #9 on Weyl Spinors:    • Spinors for Beginners 9: Pauli Spinors vs ...   SfB #10 Double Cover of SO(3):    • Spinors for Beginners 10: SU(2) double cov...   SfB #12 Spin Groups:    • Spinors for Beginners 12: How the Spin Gro...   0:00 - Introduction + Review of SO(3) 1:39 - Spin-0 representation of SO(3) 4:16 - No spin-1/2 rep of SO(3) 5:04 - SU(2) is the double cover of SO(3) 7:10 - su(2) Lie Algebra 10:03 - su(2) commutation relations 12:30 - Exponentiating su(2) generators 15:50 - Rotations of 720 degrees 18:40 - Lorentz Group SO+(1,3) 20:44 - SL(2,C) and sl(2,C) 25:26 - Left and Right SL(2,C) representations 30:27 - (1/2, 1/2) tensor product representation 34:39 - Complexification of su(2) and sl(2,C)