Differences

[yluo]

I used the Wikipedia article.
The core idea is the same: the ground state electron density of a system can determine the exact external potential AND vice versa -> since the external potential determines the Hamiltonian, which determines ALL observables, including the wavefunction, the ground state density must implicitly also be a full definition of the system.
There are some other corollaries to the theorem, including the idea that the HK functional, which determines the interaction/kinetic energies of electrons, is a universal functional of the density: the external potential does not appear in its terms.

[Author]

Posts