Erkovich

This paper considers the uniqueness of solution to the variational problem in the method of density functionals. The authors investigated the scaling relations that arise in systems containing two types of particles, as well as in systems of charged particles in an electric field created by an outward charge. The possibility of using the virial theorem was studied. It is shown that for quantum systems of charged particles in the field of distributed charge the well-known relation is not executed; this relation connects average values of the kinetic energy of the system, of potential energy of particle interaction with the external field and with each other.