The HK theorems in uniform magnetic field

In this article we have generalized the HK theorems to the added presence of a uniform magnetic field. These theorems are generalized to electrons with spin by imposing the added constraint of fixed canonical orbital and spin angular momentum.and proved a one-to-one relationship between the external potentials {v(r),A(r)} and the nondegenerate ground state densities {ρ(r),j(r)}.

Keywords:

The Hohenberg-Kohn theorem , uniform magnetic field , orbital and spin angular momentum