Formation of a wavefunction, charge density

[jajabinker]

I was studying Density functional theory, the premise of whose reasoning needs one to accept the phenomenon that when we place electrons into a potential, they "arrange" themselves into an unique wave function/charge density.

Are there any forces that oppose this arrangement? (other than the Columbic ones).

Anything we can say about entropy in this context?

Regards

 

[DrClaude]

I was studying Density functional theory, the premise of whose reasoning needs one to accept the phenomenon that when we place electrons into a potential, they "arrange" themselves into an unique wave function/charge density.

Are there any forces that oppose this arrangement? (other than the Columbic ones).

Anything we can say about entropy in this context?

I'm not sure what you mean here. DFT concerns the ground state of the electrons, which is a very well defined state.

 

[dipole]

You're referring to the Hohenberg–Kohn theorem. It's just a uniqueness theorem - given some density $n(\vec{r})$ there is a unique potential corresponding to such a density.

Or, flipped around, given a specific potential, there is only one unique solution, in terms of the density, to the problem.

The rest of you question really doesn't make sense.

 

[jajabinker]

The question indeed does not make sense. It has nothing to do specifically with DFT, but more with information theory.

I am aware of the HK theorems.