# Formation of a wavefunction, charge density

1. Jan 29, 2014

### 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

2. Jan 30, 2014

### Staff: Mentor

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

3. Jan 31, 2014

### 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.

4. Jan 31, 2014

### 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.