The Hartree-Fock approximation is used in solving many-body quantum mechanical systems. The problems of these type of systems are the e-e repulsion term in the Hamiltonian and the single electron wavefunction which is unkown.
I understand that:
- The e-e repusion term contains two positions variable and is not separable, therefore to solve such problems we need an approximated expression of such term.
- By using Fock operator, we can determined the single electron wavefunction and solve the problem.
My questions are: how this Fock operator is related with e-e repulsion term and how to proceed from this term to Fock operator? what is the physical interpretation of Fock-operator? Also in particular, which type of systems can be solved from this approximation.