JANCOS DISCIPLES IN COULOMBLAND .2. ALGEBRAIC TAILS IN THREE-DIMENSIONAL QUANTUM PLASMAS

摘要

We review various exact results concerning the presence of algebraic tails in three-dimensional quantum plasmas. First, we present a solvable model of two quantum charges immersed in a classical plasma. The effective potential between the quantum charges is shown to decay as 1/r(6) at large distances r. Then, we mention semiclassical expansions of the particle correlations for charged systems with Maxwell-Boltzmann statistics and short-ranged regularization of the Coulomb potential. The quantum corrections to the classical quantities, from order h(4) on, also decay as 1/r(6). We also give the result of an analysis of the charge correlation for the one-component plasma in the framework of the usual many-body perturbation theory; some Feynman graphs beyond the random phase approximation display algebraic tails. Finally, we sketch a diagrammatic study of the correlations for the full many-body problem with quantum statistics and purr 1/r interactions. The particle correlations are found to decay as 1/r(6), while the charge correlation decays faster, as 1/r(10). The coefficients of these tails can be exactly computed in the low-density limit. The absence of exponential screening arises from the quantum fluctuations of partially screened dipolar interactions. [References: 46]