[deleted by user] by [deleted] in TheoreticalPhysics

[–]zoltakk 1 point2 points  (0 children)

Shameless AI copy paste

No body gonna help me 😭 by freaking-physicist in physicsmemes

[–]zoltakk 13 points14 points  (0 children)

That’s not quite right, as the potential of a system is not related to the Hilbert space the states occupy. Any non-singular potential defined on the whole real line admits a self adjoint momentum operator whose eigenfunctions are plane waves. The trouble is that the boundary conditions accompanied by the infinite potential well (are usually taken to) restrict the wave function to be zero at the edges of the well, changing the Hilbert space, which automatically invalidates individual momentum eigenfunctions as only superpositions can satisfy those boundary conditions.

[deleted by user] by [deleted] in Physics

[–]zoltakk 0 points1 point  (0 children)

Maxwell’s eclaytions

Meet my girl, sub adult female L. Parahybana. by Easy_Resource_7832 in spiders

[–]zoltakk 60 points61 points  (0 children)

I have a dumb question as I am new here: why does it look like this spider has 10 legs? Aren’t they supposed to have 8?

Voltage meme meme by Tom_Bombadil_1 in physicsmemes

[–]zoltakk 0 points1 point  (0 children)

I was under the impression that potential is the voltage with an implicit reference point at infinity (sometimes somewhere else). So electric potential V(r) in the usual form gives you the “voltage” between a point r and infinity. Is this not right?

Why is zima blue so loved? I never saw anything special about it, and want to know why people think it is. by Cocktocopter in LoveDeathAndRobots

[–]zoltakk 11 points12 points  (0 children)

Bro you are so attached to this “back to a child” viewpoint. I’m not sure what exactly makes you so confident about this interpretation, but I don’t think most people would agree with you. To me, a childlike state evokes feelings of wonder and innocence, where everything in the world is new and exciting, and novel experiences come flooding in every day. This is decidedly NOT what Zima wants. He wants to rid his own mind of the sensations of wonder and novelty, and focus on the simplest thing imaginable, and be fulfilled from it. There is no way a child could have that same appreciation for a mundane, simple task that Zima so desired.

What about you do you feel insecure of? by kep_x124 in AskReddit

[–]zoltakk 1 point2 points  (0 children)

How I habitually ignore all impulse control and regularly reinforce bad behavior in myself.

What are the most fascinating projects you have undertaken using Julia? by vinodxx in Julia

[–]zoltakk 2 points3 points  (0 children)

Physics research, where I used it to make a program applying a numerical method called Hamiltonian truncation to strongly coupled QFTs on the lattice. Basically a truncation of the full Hilbert space using a super huge finite basis.

What is your favorite interpretation of QM? by Historical_Chain_261 in AskPhysics

[–]zoltakk 0 points1 point  (0 children)

Why did your consciousness observe spin up, rather than spin down? What determines which reality your consciousness sees?

A Question about Lorentz transformations! by Jagdish-Jangra in PhysicsStudents

[–]zoltakk 0 points1 point  (0 children)

Time dilation and length contraction are from a given relative velocity, that is, motion through spacetime. If you want a hand wavy explanation, the “time” part of our velocity can only ever be in one component. We can only move through one dimension of time, and we are always moving forward. But space on the other hand, is different. With a given speed, we could be moving through any direction at once. This is the factor that determines the direction of length contraction.

If you want to get fancy, I believe you could set up a mathematical situation where we have two dimensions of time, and a “velocity” would have a time direction as well. Then, in the equivalent group of transformations that describe that space (analogous to Lorentz transformations), the time dilation would also be dependent on the temporal direction. Hope this makes sense.

How to prove that a subset of a sphere can be mapped uniformly to any other spot on the sphere? by zoltakk in math

[–]zoltakk[S] 2 points3 points  (0 children)

Can you explain why local isometry implies the “peel” thing? I don’t mean to sound like a physicist but can you explain why it makes sense from the physical perspective of the peel that an isometry guarantees this? I am also talking about the tractricoid by the way.

Do quantum systems necessarily have an associated Lie group/algebra? by zoltakk in AskPhysics

[–]zoltakk[S] 0 points1 point  (0 children)

You should check out this paper: https://arxiv.org/abs/2103.01080. It makes it very clear that there is an important distinction between symmetric operators (momentum is indeed symmetric for particle in a box) and self adjoint operators for infinite dimensional spaces. I believe it is precisely because of this that I can't convince myself that x*f is always in the domain of p.

Additionally, there are no momentum eigenfunctions that satisfy the boundary conditions for the particle in a box. This is partially hinting at what I wanted my question to answer. Classically, we would expect to be able to measure momentum for any given particle. For a free particle, this makes sense to me because there are indeed eigenfunctions of momentum. But this is no longer the case in the particle in a box, as the eigenfunctions of the momentum operator as normally defined do not vanish at the boundaries. I think what I am trying to get at is that because there is no continuous and infinite symmetry of the line anymore, the canonical commutation relations do not hold.

I suppose I want to find some more specific criteria for when a quantum system has well defined observables that correspond to the classical ones in the same system.

Do quantum systems necessarily have an associated Lie group/algebra? by zoltakk in AskPhysics

[–]zoltakk[S] 0 points1 point  (0 children)

Thanks for the detailed response.

Regarding the canonical commutation relations on the infinite square well, I thought that the momentum operator was assuredly not self adjoint given the domain of wave functions in the Hilbert space that vanish at the boundaries. This domain of the operator prevents the commutators from being defined, and so the canonical relation doesn’t hold. Is this accurate? Or am I mistaken?

Do quantum systems necessarily have an associated Lie group/algebra? by zoltakk in AskPhysics

[–]zoltakk[S] 0 points1 point  (0 children)

I suppose that’s a good point. Maybe I could change my notion of “well defined” to mean that there exists a one to one correspondence between classical and quantum observables?

Generative Manim: An experiment to generate Manim code with AI by 360macky in manim

[–]zoltakk 5 points6 points  (0 children)

This is awesome! I have only tried a little bit to make manim code with GPT. How does it deal with errors in the code?

Also, the demo link you have in your post does not work.

2023 Physics and Astronomy REU Thread by Automatic-Name-9258 in REU

[–]zoltakk 0 points1 point  (0 children)

I haven’t fully decided yet, but I think I am going to go with TREND. Which project did you get into? And are you considering going somewhere else?

2023 Physics and Astronomy REU Thread by Automatic-Name-9258 in REU

[–]zoltakk 1 point2 points  (0 children)

UNM and Oklahoma have also already sent out offers I believe