Diracs belt trick Topology and Spin ½ particles

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=ACZC_XEyg9U

ANSWERS TO FREQUENTLY ASKED QUESTIONS: • https://scholar.harvard.edu/files/noa... • This is my submission to 3Blue1Brown's Summer of Math Exposition 1 #SoME1. In this video, I explain what Dirac's famous belt trick has to do with the topology of rotating spin 1/2 particles, such as electrons. • I created the 3D animations using Three.js/CCapture.js, and the math animations with Manim Community v0.8.0. • 00:00 Introduction • 4:14 The space of rotations • 9:40 Paths through the space of rotations • 18:48 Group theory the fundamental group • 31:30 Quantum spin and SU(2) • 39:31 SU(2) as the double cover of SO(3) • 48:26 Bringing it all together • 52:22 Tying up loose ends • Music by Vincent Rubinetti • Download the music on Bandcamp: • https://vincerubinetti.bandcamp.com/a... • Stream the music on Spotify: • https://open.spotify.com/album/1dVyjw... • Largo From Concerto No 5 • Exzel Music Publishing (freemusicpublicdomain.com) • Licensed under Creative Commons: By Attribution 3.0 • http://creativecommons.org/licenses/b...

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