lagrangian mechanics

[woeful tangle]

There's a book called Introduction to Classical Mechanics with Problems and Solutions by David Morin. Consider using it. Calculus is sufficient for the book. It has some great problems, many quite challenging ones too.

Also, the Lagrangian for a double pendulum shouldn't be that much of a mess lol.

Consider going through the theory and looking through examples to get a better idea of what is going on so that you can solve problems more efficiently. It is very much at an introductory level, but very well explained.

If this is good enough, feel free to close the channel. Also, for resources and book recs along such lines there is #book-recommendations

[red dust]

find the equation of motion of an electron

[woeful tangle]

That's a pretty harsh ask to a 15 year old just getting introduced to Lagrangians.

[red dust]

relatively easy if you're able to make a couple of assumptions

[woeful tangle]

On what planet is deriving the Dirac equation a "couple of assumptions" away from your first introduction to Lagrangians?

[red dust]

i never said it had to be as complex as the dirac equation, it could be simplified with a couple of postulations, wether theyre wrong or not.

[hidden sage]

Well if you have many degrees of freedom then you can use lagrangian instead of newtons

[woeful tangle]

You said equation of motion of an electron, nothing else.

[red dust]

yeah and you can find them from lagrangian mechanics.

[woeful tangle]

Field Theory. Not mechanics

Relativistic

[woeful tangle]

And that is not the technically correct description of an electron's motion.

For starters, it doesn't have a well defined trajectory.

Ik I'm being pedantic here but if you just said classical point charge instead of electron, we wouldn't be having this conversation.

[red dust]

you can account for the errors later

[red dust]

same thing

[woeful tangle]

You can't expect a beginner who has just seen Lagrangians and had trouble with a double pendulum to be aware of all that without being specific.

[woeful tangle]

Absolutely not. An electron is fundamentally a non-classical entity.

[red dust]

a double pendulum is relatively hard tho

[woeful tangle]

But the problem is setup precisely. Unlike yours.

[red dust]

and thats why you have to set it up by yourself even if it might lead to errors

[hidden sage]

Guys guys

It’s okay

[woeful tangle]

I mean even this is technically incorrect because this just assumes the Coulomb potential.

[woeful tangle]

To do that, you need to specify a solvable problem from where the student is at. You can't just throw the Dirac equation and show this horribly wrong screenshot as a justification otherwise.

[woeful tangle]

The source is ChatGPT lol. Great

[red dust]

Its still more educated than you

🥀

high cortisol physicist bro

[woeful tangle]

Just stop. You were wrong and misleading a student. You still are wrong and have to rely on an LLM trained on a lot of incorrect data to suggest you aren't.

[modern cipher]

@crystal perch I think you can have a lot of fun with messing around with the classical view of the hydrogen atom. You don't need the lagrangian for this at all, it is sufficient to use newtonian mechanics, but deriving the speed of the electron in the classical model of hydrogen using the lagranigan might be cool. Just an idea!

[young garden]

Dude its embarrassing to see this happen, you should stop using llms

llms are not educated

Like im not trying to insult you, its just like you should understand that its embarrassing to reply to someone with a chatgpt screenshot

If you search for pdfs and things yourself youll find much more straightforward and credible answers to your questions

[red dust]

tf is llm

[young garden]

large language model

(something that associates words by weights to imitate language)

[red dust]

saying llm as if i knew what it meant 😭

[young garden]

my bad lol, i guess i assumed that most people knew

do you know about anna's archive?

[red dust]

not even a standardized abbrevation

[red dust]

no

[young garden]

oh ok wait holy shit i can change your world

is it okay if i dm you

[red dust]

ye

[woeful tangle]

Such education. Much wow.

[woeful tangle]

That only works for someone who's willing to ask questions and accept when they make mistakes to learn from them. Not for people who pretend to be know-it-alls using LLM responses as a defense without even knowing what it is that they're using.

[young garden]

I think you are being unkind

Yeah he was a little rude but youre also being rude back

[woeful tangle]

Yes I am and much deserved in said context.

[young garden]

Shrug

I dont care about it so much I just want to help people out

[hidden sage]

Aww

[woeful tangle]

Aye. That's a nice attitude to have.

[hidden sage]

That’s nice spirit

[young garden]

(If I knew how to use the internet properly at a young age I would be a very different person lol)

[woeful tangle]

In any case, best to close the channel if you're done with it.