Lecture 7 | Modern Physics: Classical Mechanics (Stanford)
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All Comments (16)
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@mar77a Nvm that, the whole L = T-V thing is a mnemonic. I was just reading about this in Shankar and the EM Lagrangian he uses is correct. For more info check "R. Shankar - Principles of QM, page 83".
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At about 1:43, he actually gets -Bx and -By. My guess is that when he set up the Lagrangian he put +V instead of -V for the potential, in this case magnetic vector potential. So he ends up with -(v x B) instead of (v x B).
It'll be nice if someone can confirm this.
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Thumbs up Susskind!
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@MichaelKovarik He's not talking about localizing a particle's position in space, but its simultaneous position and momentum in phase space. A minimum phase space area of hbar implies delta p * delta q >= hbar, which is basically just a geometric interpretation of the Heisenberg uncertainty principle. Why he writes hbar instead of hbar / 2 for the area is unclear to me, but it may just be a simplification.
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I am studying Physics in Germany and this lecture helped me a lot! I can't find any electrodynamics Lecture. He didn't give one? :(
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avocadomilk: No, he means divergence. Divergence gives you a scalar, you're doing the dot product of of del and a vector hence scalar. Gradient gives you a vector.
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round about 39mins, he really means the gradient, not divergence no? divergence results in a vector, while he's got a scalar there.
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I have been trying to look for sources to back up Susskind's claim that a quantum particle cannot be localized into a region with an area of the reduced Planck's constant, 1.05(10^-34) Joule-seconds. However, I couldn't find anything to back it up. Can any of you show me sources to back up his claim?



I love classical mechanics, this class was one of my favorite and most exciting classes as an undergrad.
beenpimped31 3 years ago 11
Still questions about friction! Gah!
Ferrus91 7 months ago