Space-Time Correlation Functions in Quanta} and Classical Binary Mixtures. II-----Liquid J'lfetals as Coupled Electron-Ion Systems*l ___ _ _

The method developed previously for calculating the correlatwns m quanta! bmary mix-tures is applied to liquid metals which are considered as mixtures of classical particles (ions) and quanta! particles (electrons); as a result, the dynam1c and static structure factors as well as the radial distribution functions of wns, ion-electrons and electrons are calculated on the bas1s of model potentials with the use of the parameters appropnate to Na. The wn-ion structure factor 1s similar to that of the Percus-Yevick hard-sphere model except that the first peak 1s shifted to the small wave-number s1de and distorted in an asymmetrical form. The wn-electron correlation is shown to be very small: thus, the radial distributwn func-l!On of electrons almost coincides w1th that calculated from the jellium model. It is Important to mtroduce quanta] direct correlatiOn functions, in terms of which we can represent the compressibility of a liquid metal, including the Bohm-Staver term, and that of a fused salt 111 a unified manner; and the effective direct correlation function of ions in the one-component model for liquid metal can also be defined by using these quanta! direct correlatiOn functwns. The Friedel sum rule is extended to the case of the electron density distribution around a constituent ion m a liquid metal: hence, we can also show the distortwn of the electron dens1ty distribution around each wn to be small. We may conclude that the wns in a s1mple liq mel metal are moving around w1thout disturbmg the uniform dens1ty distributwn of the electron gas. wh1ch behaves as if 111 the jellium model