Hamiltonian Mechanics in 10 Minutes

Рет қаралды 19,908

Күн бұрын

In this video I go over the basics of Hamiltonian mechanics. It is the first video of an upcoming series on a full semester university level Hamiltonian mechanics series.
Corrections
-4:33 the lagrangian should have a minus sign between the first two terms, not a plus.

Пікірлер: 57

@chillaxiommath Жыл бұрын

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

@aneikei 2 жыл бұрын

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.

@FermionPhysics 2 жыл бұрын

Thanks for the comment! I was kinda nervous about the quality of this video, and how understandable I was, so your words are very assuring :)

@aneikei 2 жыл бұрын

@@FermionPhysics no, it was very good. And you're very understandable. Stop doubting yourself. There is one minor thing I would suggest. Make the transition duration between the slides with just the equations a tiny bit longer. I had to pause the video to read them. But other than that - well done.

@MrSomethingdark Жыл бұрын

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!

@FermionPhysics Жыл бұрын

Thanks! This really made me smile

@KevinToppenberg 2 жыл бұрын

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

@FermionPhysics 2 жыл бұрын

Thank you for such kind words. I’m sort of still new at stop-motion animation so I’m still figuring out the best way to do things, but I will definitely work on optimizing the animation pacing.

@KevinToppenberg 2 жыл бұрын

@@FermionPhysics I enjoyed the video, so hated to say anything. Just want you to keep making great content.

@TheVictorsuvorov Жыл бұрын

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

@boshrabesharatian7995 5 ай бұрын

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 🙏

@LookingGlassUniverse 2 жыл бұрын

Well done, this is great!!

@FermionPhysics 2 жыл бұрын

Wow, the first time a big youtuber commented on my channel. Thanks! Love your content too :)

@dirkjensen935 9 ай бұрын

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

@Crayonch1n 10 ай бұрын

Omg this helped me so much! Thank you for this! 😭✨

@FermionPhysics 10 ай бұрын

Glad it helped!

@letsbegood_ 7 ай бұрын

This was truly helpful, your explanation was precise and great. Thanks a lot sir!

@FermionPhysics 7 ай бұрын

Thanks! That means a lot

@simon-xi3cv 2 жыл бұрын

Very good explanations and animation. Thanks for the video!

@FermionPhysics 2 жыл бұрын

Thanks!

@olivierrokks 2 жыл бұрын

Yeah you have a legit fan here

@sergio3713 28 күн бұрын

Hello! Not using Newton's F = ma, allow me ask: 1 - Where does the { Action = Integral (K - U)dt} come from? 2 - Where does the {Lagrangian (K - U)} come from? 3 - Can I deduce that I must minimize the Action integral equation from minimizing the potential energy U? 4 - Can you elaborate? Thanks!👋

@muhammadchoudhury5413 Жыл бұрын

This video is amazing

@marius632 10 ай бұрын

The animations are so cool

@tomkerruish2982 2 жыл бұрын

Wouldn't the phase space for two particles be twelve-dimensional? Each has three apiece for position and momentum, so 3+3+3+3 = 12.

@FermionPhysics 2 жыл бұрын

Yeah, I was thinking of 3 particles.

@DannyWrigley 4 ай бұрын

Very helpful thanks man. Laughed out loud at Lagrange’s speech bubble too 😂

@FermionPhysics 3 ай бұрын

Glad you liked it!!

@spencerknight1509 7 ай бұрын

This is a really well made video, I would just recommend slowing down while you speak and this will be perfect.

@manimusicka2 8 ай бұрын

Thank you!

@FermionPhysics 8 ай бұрын

You’re welcome!

@sleepycritical6950 8 ай бұрын

You got a stutter and a slur bro, it’s not a major problem but I think you should speak slower and in a more sound isolated room, with a good mic with a wind protector so that you can much more easily edit and re record some lines. An isolated room because you need to be able to control the environment to ensure the quality of the recording is consistent over all takes. Some suggestions is to split the script by sentences and punctuation, record up to a comma or a period. Add an EQ to get rid of the low frequencies and you’re good to go. Now not all stutters are bad, I find it quite endearing, adds character, but some lines should be re recorded. Other than that I like the explanation it’s very intuitive.

@playgirl7305 6 ай бұрын

Who cares about his stuttering? Apparently only you. And you probably never heard of Steven Hawkins.

@sleepycritical6950 6 ай бұрын

@@playgirl7305 Stephen you mean. And Hawking.

@ianirvingthorsonc Жыл бұрын

Aaaa loved the "language" part...just like religions are different languages,not different things..speak English, Spanish, math, hamiltonian, lagrangian, newtonian, catholic, christian, budism, zen etc etc❤

@PetakyahBuckley-ht5iz 9 ай бұрын

That formula is longer than the alphabets

@justinparisien8125 6 ай бұрын

great vid! lets get rid of those gay forces😂

@FermionPhysics 6 ай бұрын

Yesssir

@jacobsamson257 2 жыл бұрын

🍝🦆

@FermionPhysics 2 жыл бұрын

I agree

@darkzonegaming9169 Жыл бұрын

what does that mean

@onourpath Жыл бұрын

I got 4:09 into this and turned it off. WTF! Clean up your act!

@FermionPhysics Жыл бұрын

What did you not like about it?

@jay31415 Жыл бұрын

@@FermionPhysics Using "gay" in the way it's being used here is highly offensive, especially in modern times. It's also one of those types of insults that only teenagers tend to use, so it makes you look like an immature teenager, which will result in your losing most adult audiences.

@FermionPhysics Жыл бұрын

@@jay31415 well that was quite the reaction. I like humor-even if no longer considered pc. I hope you can enjoy the rest of the vid even with my teenager-ness haha.

@jay31415 Жыл бұрын

@Fermion Physics To be clear, I am not offended. But, as someone who has used humor like this and learned to adjust, I can tell you that a huge percentage of your potential audience will be deeply offended by a very small number of politically incorrect phrases and you will lose viewers. If you want more viewers and less haters, adjust. If you get joy out of large numbers of people being pissed at you, I can respect that too, to each their own.

@RobertoCarlos-tn1iq 9 ай бұрын

you didn't miss much. he's a kid from nigeria who still lives at home with his mommy. you know the rest.

@ihbarddx 7 ай бұрын

You didn't teach me Hamiltonian Mechanics in 10 minutes, I'm embarrassed to say. As Kevin Toppenberg pointed out, the things you flash onto the screen require a great deal more development to make this work. BTW, in Principia, Newton's actual second law is F=Delta(MV) - which is to say, the force (vis) Newton defines in his second law is what we now call impulse. (He defines motion as momentum, and a force is an action that changes a body's motion, so the quantity of force is the change in momentum - not the rate of momentum change. F=m*a is revisionism.) Therefore, real Newtonian mechanics may be closer to Hamiltonian mechanics than we are ready to admit.

@user-mf7li2eb1o 23 күн бұрын

Is it me or is he stuttering like shit? Rest is good tough

@user-vg7zv5us5r Жыл бұрын

Please improve your articulation.

@muhammadchoudhury5413 Жыл бұрын

I personally heard you just fine.

@user-mx7no8ju5f 6 ай бұрын

Forces are gay 😂

@RobertoCarlos-tn1iq 9 ай бұрын

might want to use AI next time to narrate. difficult to understand your pronunciation.

@FermionPhysics 9 ай бұрын

I have a stutter so it can sometimes be hard for me to say the whole word on the first go. I do not have full control over it. I’d prefer to continue making videos using my own voice as it makes them feel more personal to me, and hopefully gives encouragement to other people who stutter. Thanks for the feedback, though!

@CaramelThe3rd 4 ай бұрын

@FermionPhysics I dont normally reply to comment, but I thought I'd say that I find your voice much better than if you had used text to speech. although I agree it would be more coherent without the stuttering, I find learning things from a human voice much more comfortable. I also stutter often when trying to explain things so I can kinda relate, keep up the good content

@aram9167 2 ай бұрын

@@FermionPhysicsyour stutter is fine, don't worry a bit about it