Hamiltonian Mechanics in 10 Minutes

Comments · 75

• BO

  @boshrabesharatian7995 · 2 years ago

  It was the most fluent way of explaining Hamiltonian Mechanics I've ever seen. As a biginer, I appreciate this basic videos a lot. Thanks 🙏

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• CH

  @chillaxiommath · 4 years ago

  I just now understand what a phase state is for the first time! Thanks a bunch!

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• DO

  @douglasstrother6584 · 8 months ago

  Learning about non-linear oscillators, chaos and all that in Junior-level Classical Mechanics course put the &quot;WOW!&quot; back into Physics for me. &nbsp;Thanks, Professor Peter Scott (1933-2024), UC Santa Cruz (1983)! &nbsp;We studied the Düffing Oscillator and he had a real demo of it as well. &nbsp;The Logistic Map was another goodie he encouraged us to play with on a computer. <br>We covered perturbation theory in the context of non-linear oscillators and the 3-body central force problem; &nbsp;it&apos;s fascinating how complexity arises when you &quot;tweak things just a bit&quot;. <br> <br>Physics Honchos like Poincaré worked on non-linear mechanics in the early 1900&apos;s; &nbsp;he and others showed that &quot;these are <b>really</b> hard problems&quot;. &nbsp;Little more was done up to Edward Lorenz&apos;s modeling of weather in 1963, with the arrival of digital computers. <br>Non-linear systems are covered in &quot;Nonlinear Oscillations&quot; Ch.5 of &quot;Classical Dynamics&quot; (2nd ed.) by Jerry Marion, and in &quot;Canonical Perturbation Theory&quot; Ch.11 of &quot;Classical Mechanics&quot; (2nd ed.) by Herbert Goldstein. <br> <br>&quot;Chaos: Making a New Science&quot; by James Gleick is still a great read.

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• YI

  @YilitiziYu · 1 year ago

  <a href="https://www.youtube.com/watch?v=B6PCntP3cek&amp;t=494">8:14</a> For anyone who didn&apos;t get the Alexander Hamilton joke, please go listen to the William Roman Hamilton parody in Acapella Science.

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• KE

  @KevinToppenberg · 4 years ago

  Thank you for making this video. &nbsp;I have been looking for an introductory level video about Hamiltonian mechanics, and this filled the gap. &nbsp;You have put a lot of effort in the animation, and it really adds to the presentation. &nbsp;To make this even better, I would recommend working on the pacing of the animation. &nbsp;There were many times that things would be shown on the screen, only to flash away before I could absorb what was being shown. &nbsp;So I would have to pause or rewind. &nbsp;Overall, you have done a great job. &nbsp;Keep up the great work!

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• TH

  @TheVictorsuvorov · 3 years ago

  thank you so much. this is the best explanation i have seen so far

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• MR

  @MrSomethingdark · 3 years ago (edited)

  Omg! Thank you so so much my dude. So many important points mentioned here. As someone who has never learned it and is doing it now this really shows the ins and outs. Great contrast between them too!

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• AN

  @aneikei · 4 years ago

  Your video is awesome! Well done. You take what could be considered a complex subject and break it down into simple concepts. Keep up the good work.

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• JO

  @johnstuder847 · 11 months ago

  I saw this video a few years ago, and was really looking forward to the video series development in the original introduction form with Noether’s and simplectic manifolds. I hope someday you will be able to complete the whole series, it had great potential. Best of luck to you!

• DI

  @dirkjensen935 · 2 years ago

  Great video mate, nice comparison between Newtonian, Lagrangian and hamiltonian on the same problem. Thanks for making it!

• RS

  @RSA_411 · 1 year ago

  BEAUTIFUL EXPLANATION. THANK YOU. I am not a physicist. As a lay person, I am really trying to understand what Newtonian, Lagarangian and Hamiltonian means as a concept

• UG

  @ugffdth · 3 years ago

  The animations are so cool

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