Converting From Lagrangian to Hamiltonian Like An ABSOLUTE NORMIE
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- Опубліковано 9 лют 2025
- Today I go over how to convert from a general Lagrangian in Cartesian coordinates into it's corresponding Hamiltonian. I also go over converting from generalized velocity to generalized momentum through legendre transformation.
Definitely do it in spherical and cylindrical coordinates
The "this should be a 'q_i-dot'. You didn't say anything" killed me. I'm having flashbacks.
You are currently saving my college career. All that stands between me and a degree in physics is a final in mechanics that includes the Hamiltonian
Great vid! You should give an example when the Hamiltonian doesn't just turn into T + V
Good idea!
Backward hat. Badass ready to tackle any problem on that whiteboard of his.
Oh shit backwards hat Andrew at a white board. This is obviously a math heavy video and I love it
its disrespectful to the whiteboard
when you see a reversed snapback you know shits gonna go down
Omg, I've always watched your videos as a pupil and thought "This is so complicated, I'll never get there", but now I'm sitting here at 1am, learning for one of my exams of the second physics semester and understanding what you say for the first time !
Thank you !!
im am doing classical mechanics at university,,, everything you have done in this video is very helpful
Very nice Andrew! I needed that. Taking my first physics course (Classical Mechanics, Taylor's book) in over 45 yrs haha w/ no review and missing my old confidence :P. We just started the chapter on Hamiltonians and Great job - I feel better now!
Very well explained. Thanks a lot! Greetings from Zurich
More Tensors man... I want to get at that group theory! (I won't cry if you do the coordinate systems though.)
I can't wait to make those videos again, definitely coming!
a lecture in levi-cevita symbol identities would be very helpfull
Just what I am looking for, a basic well explained example. Please, please do this in Cylindrical and/or spherical and just do more with this precise theme, i.e., basic examples well explained. Thanks
From lagrangian to hamiltonian is legendre
It would be great if you drew the dots a bit thicker, so that we could see them better.
I agree! Next time furshur
Nice timing, bro. Gonna be introduced to Lagrangian and Hamiltonian mechanics later this semester 👍
Here I am in 11th grade, fighting back the fear of what's ahead of me by looking at *this*
Shhh don't be afraid little one.
You sounded like Thanos
You can also derive the Legendre Transformation by using the total differential of L, and the Euler-Lagrange Equations. (Landau, Lifschitz. "Mechanics")
I can’t wait until I can understand all this!
10 minutes later
Omg I love the whiteboard. It’s so big. Which one did you get?
Also you in hats is 🔥. 🙌🙌🙌🙌
I got the Quartet 4ft x 6ft aluminum frame. It's nice, but it hangs from the top of the white board, so the bottom had space between it and the wall. So I velcro'd it to the wall
That's an awesome video
I love this video, thank you so much!!
please do cylindrical and spherical pleasee.Love your work brother,thanks a lottt
Is there a difference between the legendre transform and the total derivative of a function? I never used the term Legendre transform in stat mech and just thought of it as a total derivative/differential.
I can't find anything relating the 2 from a Google search and it's bothering me
Very easy explanation. Thank you.
So the whiteboard is on the wall
It was helpful thank you very much
Make a video on it's physical significance,like that pendulum problem , that will help to understand its physical significance instead of maths
What whiteboard do you recommend (name brand) is it hard to mount, how about a mobile one?
thank you
hey man can u do going from hamiltonian to the lagrangian
Great video! Is that cap a Kaiba Corp cap from Yugioh?
I thought the Hamiltonian was T+V
I understand the reasoning of this vid but it's not the result I expected
Or does the sum term equal the Kinetic Energy?
Thank you for saving my ass for my classical mechanics final 🙏
what is the hamiltonian of L=square root of( 1-qdot square )
Does this work for non conservative systems?
Why is your camera's axes not parallel to your white board's axes ?
Cuz parallel lines are for normies
What are some good sources (videos and textbooks) to learn Lagrangian and Hamiltonian mechanics, since my school doesn't offer them as a main course!?
Thant u!
They're generally apart of classical mechanics courses, so look for books in that field.
my school uses classical mechanics by taylor, i've heard it's good. I'm using modern physics by taylor and it's good so far.
taylor or halliday and resnick for classical
Taylor’s Classical Mechanics (the big red book) is solid. Very easy and interesting to follow
Thank u all guys for the suggestions!
*A* *B* *S* *O* *L* *U* *T* *E* *M* *A* *D* *L* *A* *D*
I should probably try repeating in some different coordinate systems! 🙂
It’s weird to think that velocity and in transitivity momentum although a time derivative of position does not explicitly depend on position yet you can’t describe the velocity with an initial position nor can you describe the position with an initial velocity position is only purely spatial and as soon as it has a temporal aspect you’re in velocity’s domain tack on a mass you’ve got some momentum add some Carl weathers baby you’ve got a stew goin
You forgot to expose that the Hamiltonian also can be written as just T + V. Silly Andrew. Great video though 👍🏻 cylindrical and spherical coordinates would be sick to do a video over
How silly of me! Thanks!
Well actually im a chemistry student over at switzerland but i also have quantum mechanics in the next semster and think that your videos are very interesting even though i dont really understand much
Switch from cart colors to cylindrical wo justification
Why is the lagrangian Kinetic-Potential energy or more technically why is the action defined as the integral of Kinetic-Potential. (i get how the lagrangian and action are related because you want to minimise the action)
Thnks from algeriaa
@3:50 Oh yes I did say something! You weren't listening!
@8:09
Get you a man that looks at you the same way Andrew looks at his converstion from Lagrangian to Hamiltonian.
Since H=T+V, it's obvious that H=2T-L.
We’ll def do it in 9 minutes and then you will take your qualifiers. 😂
Do one in toroidal coordinates xD jk jk
smart people what is L just say it
*General-ass coordinates