Aguilera-Navarro, V. C.De Llano, M.Peltier, S.Plastino, A.2022-04-292022-04-291977-01-01Physical Review A, v. 15, n. 3, p. 1256-1262, 1977.1050-2947http://hdl.handle.net/11449/231090Two infinite families of two-parameter generalized Overhauser orbitals are introduced and shown to satisfy explicitly, for occupied states, the self-consistent Hartree-Fock equations in the thermodynamic limit. For an attractive δ interaction, they give lower Hartree-Fock energy than the usual plane-wave solutions, even for relatively weak coupling and/or low density. The limiting members (possessing an infinite number of harmonics) of both families appear to tend to a classical static lattice state, via a second-order transition for one family and via first order for the other. The related density profiles and energy expressions are calculated as functions of the two new parameters. A direct variation with respect to these parameters was done numerically and results are presented graphically. © 1977 The American Physical Society.1256-1262engArtigo10.1103/PhysRevA.15.12562-s2.0-4243521574