Poisson bracket: a step before Quantum Mechanics

Comments · 86

• JK

  @jkzero · 8 months ago · pinned

  [Related videos]<br>∘ Lagrangian Mechanics: when theoretical physics got real <a href="https://www.youtube.com/watch?v=QbnkIdw0HJQ">https://youtu.be/QbnkIdw0HJQ</a><br>∘ The origin of Hamiltonian Mechanics <a href="https://www.youtube.com/watch?v=m-r1ji9zRVI">https://youtu.be/m-r1ji9zRVI</a><br>∘ Symmetry in physics and Noether’s theorem <a href="https://www.youtube.com/watch?v=rtqHlDwCk-g">https://youtu.be/rtqHlDwCk-g</a><br>∘ Phase Space: the geometry of Hamiltonian mechanics &nbsp;<a href="https://www.youtube.com/watch?v=IVQRfHAgLxk">https://youtu.be/IVQRfHAgLxk</a>

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• FI

  @fightingforcatalonia · 8 months ago

  Poisson &quot;s&quot; is like the spanish &quot;s&quot;. You are a legend man. Eres el mejor

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• MR

  @MrFib112358 · 8 months ago

  The &quot;fish&quot; at the end was a very nice touch. What a cliffhanger! This story keeps building up, why is this not taught like this in school?! We all know the destination but you have really made it about the journey.

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• FR

  @franciscofigueiredo7886 · 8 months ago

  I laughed at the Clebesh-Gordon coefficients sneaking in the on the corner hahaha

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• AN

  @AndreaDiFenogliosa · 8 months ago

  Another beautiful presentation

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• BR

  @brendanw8136 · 8 months ago

  Le poisson le poisson, how I love le poisson!

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• PE

  @PedroFerrr · 8 months ago

  Yet another amazing video. You&apos;d be a great lecturer, Jorge, the clarity of your explanations and calculations is top nothc. Plus, the subtle humour here and there (loved the fish at the end, but was chuckling with the Clebsch-Gordan table sneaking in an appearance :) ) is wonderful. Thanks!!

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• RO

  @rostonrajaonarison · 8 months ago

  Thanks a lot, mr Diaz! It&apos;s always a pleasure to watch one of your video

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• NI

  @ni3cat · 6 months ago

  Another gem

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• MK

  @mkg1059 · 8 months ago

  Man what would we do without your wonderful videos?? pains of life is relieved for a while I watch your insightful video...please carry on videos about Jacobi works,,,

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• TE

  @Testgeraeusch · 8 months ago

  I was always confused as to why we were calling the momentum in the azimuthal angle L but used a generic p for the polar angle. In my mind, both were angular coordinates, so surely theey should both be &quot;angular momentum&quot;. At some point I sat down with a bit of sympy python code whcih could evaluate Poisson brackets between any two functions and started to play around with combinations of the momenta and coordinates in theta and phi and stubled over the polar representation of the carthesian angular momentum vector components. I recognised the algebra and was sooooo happy to have finally made some sense of this stuff. Ever since I used this correspondence path to teach things like Lindblad formalism or the von Neuman equation based on their classical counterparts. It makes sign conventions and the difference between total and partial derivative much more straight forward compared to the texbook approach of starting with the Schrödinger equation.

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• IH

  @ihmejakki2731 · 8 months ago

  Good stuff! I never learned abt Poisson brackets during my studies, only the commutator for QM.

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