Nonexistence of a Hohenberg-Kohn variational principle in total current-density-functional theory

作者：Laestadius Andre^*; Benedicks Michael

来源：Physical Review A, 2015, 91(3): 032508.

DOI：10.1103/PhysRevA.91.032508

For a many-electron system, whether the particle density rho(r) and the total current density j(r) are sufficent to determine the one-body potential V (r) and vector potential A(r) is still an open question. For the one-electron case, a Hohenberg-Kohn theorem exists formulated with the total current density. Here we show that the generalized Hohenberg-Kohn energy functional epsilon(V0,A0)(rho,j) = can be minimal for densities that are not the ground-state densities of the fixed potentials V-0 and A(0). Furthermore, for an arbitrary number of electrons and under the assumption that a Hohenberg-Kohn theorem exists formulated with. and j, we discuss the possibility of a variational principle in total current-density-functional theory such as that of Hohenberg-Kohn.

• 出版日期2015-3-23