MOMENTUM UNIMODALITY EFFECTS IN ATOMIC SYSTEMS

Starting from the known unimodal character of the momentum density gam ma(p) of numerous ground-state atoms, two general inequalities relatin g the location of the maximum p(max), the value at the origin gamma(0) , and the momentum expectation values [p(alpha)], alpha > - 3, are fou nd. As a limiting case, an upper bound to p(max) is given in terms of the number of electrons N and the mean logarithmic momentum [lnp]. Fin ally, the quality of these bounds is numerically analyzed.