Dirac Equation: Free Particle at Rest

Comments · 152

• SI

  @sirwinston2368 · 2 years ago · pinned

  BSChE here. About ready to retire (13-14 mos.), move 500 miles, and go back to my alma mater (Aug 2025) to get a degree in Physics. This stuff is awesome. One of these days I am going to understand all of this. I swear. Your videos help. Thank you.

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• NZ

  @nzuckman · 2 years ago

  IT'S BISPINOR TIME BOIS 🥳

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• MA

  @mariocesarsousa · 2 years ago

  I am in the last year in physics. I feel I need 4 more years. This channel is great. I learn Physics and improve my English.  ❤

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• AR

  @arshraghuvanshi2039 · 2 years ago

  Quality teaching, as always, and a damn shame this doesn't get more views. But bro you gotta stop ending vids with cliffhangers😭😭 always have me looking if the next part has arrived...

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• SS

  @sshkatula · 2 years ago

  This is so much more interesting than back in the days at university! Thank you!

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• AN

  @anth2 · 2 years ago

  This video series IS SO GOOD. Your visualizations are UNPARALLELED

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• KA

  @karkunow · 2 years ago

  That flag is just a representation of an SO3 element or a rotation in R^3. And on the deeper level it is a Hopf Fibration of 4D sphere: S1 -&gt; S3 -&gt; S2<br>Flag can&apos;t track down the spinor sign, which you can actually track in 4D.<br>I guess the best way to go with spinors is understanding the SU2/SO3 and their irreps. <br>Representation theory is a key to understanding spinors in some sense.<br>But, of course, the more you know - the better.

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• RI

  @ripper5941 · 2 years ago

  The field manipulations in Dirac&apos;s equation are truly remarkable.

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• CY

  @cygnus_zealandia · 2 years ago (edited)

  When I did Uni Maths and Physics around 45 years ago, there were no animations, just rapidly revolving blackboards moving so fast that it took most of my energy just to get the algebraic content down on paper. I&apos;m so grateful for these beautiful visualisations and mathematical summaries. Many words, definitions and explanations are coming back to me all these years on, and much more of it is making a lot more sense. Thank you for presenting such content this way to re-view this content I remember of my youth, when I was a very visual student and struggled with the lack of visual content (and no animations). Visual content was part of my high school learning but it was not present much at University. Animations have made much of this material more enjoyable and comprehensible. I&apos;m enjoying this immensely. Thanks again.

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• HA

  @Hampardo · 2 years ago

  I&apos;ve just been thinking about this. About how the bispinor may be represented as two 4pi invariant planes in 4D space.<br>Very interested in your next video!

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• JP

  @jperez7893 · 1 year ago

  You are such a great teacher and communicator. The visuals teach and reinforce the intuition and physical insight. Someone can solve all the wonderful math and still lose sight of the problem. <br>One mathematical tool/framework that has been useful for me to understand was geometric algebra. The dirac matrices and other mathematical objects seem to fall out more naturally and have helped me understand the more complicated tensor algebra. I hope you continue making these excellent videos

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• MJ

  @mjahore · 2 years ago

  Love these videos! Thanks for making them and I hope you keep on. Good refresher for me, and lots of nuances that I never noticed as a student.

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