A recently developed quasi two-dimensional exact-exchange formalism within the framework of Density Functional Theory has been applied to a strongly inhomogeneous interacting electron gas, and the results were compared with state-of-the-art Variational Quantum Monte Carlo (VMC) numerical simulations for a three-dimensional electron gas under a strong external potential. The VMC results, extreme...

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum, and energy. A consequence of these imposed constraints is that the local electron equilibrium distribution must have a spaceand timedependent chemical potential, drift velocity, and temperature. Both quantum kineti...

We investigate the correlation effects in a two-component, one-dimensional electron gas interacting via repulsive 6 function interactions. Electron correlations are treated within the approximation scheme of Singwi, Tosi, Land, and SjGlander (STLS) which yields analytical expressions for the local-field corrections. The static structure factors, pair distribution functions, collective excitatio...