HALF-SPACE JELLIUM AND ITS NATURAL OCCUPATION NUMBERS - GENERALIZED NEUTRALITY SUM-RULE AND CORRELATION ENTROPY

A conceptional analysis of half-space jellium in terms of its one-part icle density matrix (diagonalized by natural orbitals and natural occu pation numbers as eigenfunctions and eigenvalues) is presented. This a llows to apply the concept of correlation entropy as a measure of corr elation strength. Exact expressions for the electron density, the kine tic energy density, and the correlation entropy density are given. A g eneralized Sugiyama-Langreth neutrality sum rule for the phases which describe the bulk asymptotics of the natural orbitals is derived. Kine tic surface energy and correlation surface entropy depend on these pha ses and on the bulk momentum distribution of the uniform electron gas.