Why Relativity Breaks the Schrodinger Equation

Comments · 374

• RI

  @RichBehiel · 3 years ago · pinned

  Hey everyone, thanks for checking out this video! :) Just wanted to pin a couple of minor corrections here, based on your feedback:<br><br>1) I should have put “keV” instead of “KeV”. It’s like how kilogram is kg, not Kg. <br><br>2) I should have clarified that typically (Laplacian) ~ (d/dt) is called the heat equation or diffusion equation, whereas the term “wave equation” typically connotes (Laplacian) ~ (d2/dt2). *However*, that’s because we often use real-valued functions; when working with complex-valued functions, (Laplacian) ~ (d/dt) does indeed allow for wave solutions, because of the phase degree of freedom in the complex plane. The plane waves shown in this video are examples of that. But instead of just saying that S.E. for a free particle is a wave equation, I should have talked briefly about how the first time derivative requires that psi be complex, at which point this thing that looks like diffusion can actually get wavy. I hope that explanation clears things up. <br><br>Please let me know if you have any more corrections for this video. I’m trying to always get better over time! :)

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• JI

  @jimbobjr11 · 3 years ago

  You are the 3blue1brown of physics. Some of the highest quality videos on youtube. Thank you sir

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• RO

  @Robinson-1878 · 3 years ago (edited)

  &quot;Saying that number makes me sound like a stubborn German&quot; - made my day

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• WL

  @wlfellinUT · 3 years ago

  First rate pedagogy - always love learning from experts who are totally at ease with their topic.

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• GR

  @greenmario3011 · 3 years ago

  As someone with a chemistry background I mostly knew about relativity&apos;s effects on electron clouds as the reason heavy element chemistry stops making sense and just sorta does whatever it wants.

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• AR

  @artophile7777 · 3 years ago

  Now I shall learn

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• AR

  @arturchakhvadze6446 · 3 years ago

  Somehow you are hitting this magical sweet spot where every time you explain some profound result I feel like “yeah, this makes perfect sense”.

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• 32

  @32rq · 3 years ago

  I just want to say that I appreciate this so much. This is the level I&apos;m at, and its hard to find content that doesnt hold back from the whole truth, while still giving a good intuition and not falling back to the math alone pretending that understanding the math is the same as understanding the thing itself.

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• RA

  @RagaarAshnod · 3 years ago

  <a href="https://www.youtube.com/watch?v=8Iu74b5iCuQ&amp;t=8">0:08</a> intro<br><a href="https://www.youtube.com/watch?v=8Iu74b5iCuQ&amp;t=50">0:50</a> free particle<br><a href="https://www.youtube.com/watch?v=8Iu74b5iCuQ&amp;t=120">2:00</a> 2nd order space<br><a href="https://www.youtube.com/watch?v=8Iu74b5iCuQ&amp;t=172">2:52</a> plane waves<br><a href="https://www.youtube.com/watch?v=8Iu74b5iCuQ&amp;t=303">5:03</a> de broglie<br><a href="https://www.youtube.com/watch?v=8Iu74b5iCuQ&amp;t=415">6:55</a> curves<br><a href="https://www.youtube.com/watch?v=8Iu74b5iCuQ&amp;t=780">13:00</a> lep electron<br><a href="https://www.youtube.com/watch?v=8Iu74b5iCuQ&amp;t=874">14:34</a> return to plane waves<br><a href="https://www.youtube.com/watch?v=8Iu74b5iCuQ&amp;t=944">15:44</a> conclusion

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• LE

  @LeoMarchyok-od5by · 3 years ago

  Studied advanced physics in high school and just did vector calc in university. I’m so happy to finally understand this stuff!

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• JA

  @jakublizon6375 · 3 years ago

  This is exactly what I&apos;ve been looking for. I need to see the math. General concepts don&apos;t satisfy my curiosity anymore. Well, they do but in some areas I really crave a deeper understanding and linear algebra helps with that.

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• ON

  @onnilattu9138 · 3 years ago

  I love your content since its not just your typical edutainment physics shit with diluted details and simplified explanations. Instead you present actual physics with real equations

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