Recent content by CuriousLearner8

All of this makes sense to me, but I think what I'm trying to figure out is why the ansatz some use is not in contradiction to the eigenvalue problem? Isn't the eigenvalue problem a fundamental postulate of quantum mechanics, therefore should not be violated?

Hi anuttarasammyak, thanks for the reply. The eigenvalue problems look correct but I've seen the wavefunction written in terms of the Action. So I've seen some papers write: \psi(x,t) = R(x,t)e^{iS(x,t)/\hbar} where the Action S can be written out as S(x,t) = px - Et. This is especially done...

Hi Narasoma, I hope you are well. This is due to the nature of the quantum world. No matter how good our apparatus becomes, we will never be able to violate the Uncertainty Principle. This is actually quite a reasonable thing, although it might seem very strange at first. Remember, quantum...

We are pretty certain in uncertainty.

Hello, I hope you are doing well. I had a question about the eigenvalue problem of quantum mechanics. In a past class, I remember it was strongly emphasized that the eigenvalues of an eigenvalue problem is what we measure in the laboratory. ##A\psi = a\psi## where A would be the operator...

This is very fascinating.

I have checked, but seeking further input. :-)

Many thanks for these. If anyone has other examples as well, they would be much appreciated.

I'm very interested in close approximations matching experimental results. I'm working on a project, hence these questions.

Thanks for the response. I'm genuinely curious. What numerical approximations have we used for multi-particle systems? I'd like to learn more.

Nice paper. Thank you for sharing.

My understanding that no multi-electron atom has been successfully described by a multi-electron wavefunction because the math becomes difficult to disentangle. Did I misunderstand?

Hello, I hope you are well. I have been doing a lot of readings on the wavefunction and have a question I did not see asked anywhere else in these forums. I was wondering if someone could shed some light on this for me? I know the wavefunction is in 3N coordinate space and could be used to...