Physics 69 Hamiltonian Mechanics (1 of 18) What is Hamiltonian Mechanics?

In this video I will explain what is Hamiltonian mechanics, how are the equations derived, how the Hamiltonian equations will simplified into classical mechanics equations.

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[workerpowernow]

i want to say that i have found your videos helpful for years, from when i was a sophmore in highschool to graduate courses in my PhD program :) you are an excellent teacher and a great resource for students everywhere! thanks

[zackm]

Keep these advanced topics coming!! Excellent as always, best channel on YouTube

[ianissimo]

I almost clicked away when I saw that board. Glad I didn't. I still can't believe you made all those letters and numbers make sense to me.

[jamesmcdonnell]

This was incredibly helpful, thank you. I've watched your videos since my lower level physics courses and now I can't believe you are making videos in particular to help through even mechanics. This really helps bring better meaning to me for what they are saying in the book.

[calm_spirit]

Thank you so much for this video of HAMILTON equation of classical mechanics ...
I have understand it very easily just because of you .
One more time, Thank you.

[Physics-for-U]

Sir your teaching minimizes my fear of physics. Thanks🙏🙇

[litsci]

Oh my god, thank you for that initial runthrough of what the Hamiltonian is. I've been wandering around forever trying to find someone who can explain it in English without disconnecting it from math entirely. People, this is how it's done, pay attention.

[albertyeung]

a great series for classical mechanics

[larrybryant]

These videos are excellent !!
I have learned quite a bit about these topics in advanced mechanics, by watching these.

[mark.p]

Hello Michel


Will You do more videos on Hamiltonian mechanics [because it says (1 of 18) and I can find only 3] :(


Best regards :)

[heshakipeiris]

I never thought this would be so easy..Thank you very much

[charlesmarseille]

Hi, 2nd year physics student here thanking you so much for clear and precise help and simplification. One question stands: why does the last equation Is this a postulate? Empirical conclusion? Thanks

[samsonmajula]

your lecture keep me loving will welcome my collie to watch your video and add more subscriptions

[gerardomoscatelli]

Crystal Clear explanation thank you so much !

[giladisrael-mexc]

That potential energy is the Force of a spring representation, the Potential energy should be 1/2cx^2, that would make much more sense

[iforced]

3:53 Why don't we also take the time derivative of the potential energy?
4:09 Why do we multiply by m here?

[DavidtheNorseman]

Out of curiosity why does the partial derivative of x not include the momentum term since the momentum is a function of x ? Anyone who knows can answer and I have no qualms with the venerable Hamiltonian equation but it just hit me that we treat the momentum in this case as if it isn't a function of x....thanx in advance!

[surendrakverma]

Excellent lecture Sir. Thanks and Regards 🙏🙏🙏🙏🙏

[wallachian]

Very well explained and very helpful. Thank you for your help. Keep doing what you're doing cause what you're doing is great.

[EB]

The hemiltonian is NOT always the total energy of the system, take a bead on o rotating wire for example