MANY-BODY EFFECTS IN THE INTERACTING QUASI-ONE-DIMENSIONAL ELECTRON-GAS - OSCILLATOR CONFINEMENT

Many-body effects described by the local-held correction are calculate d for the quasi-one-dimensional electron gas with an oscillator confin ement of width parameter b. The self-consistent theory of Singwi, Tosi , Land, and Sjolander is used with an analytical form for the local-fi eld correction. Wt-use a three-sum-rule approach in order to parametri ze the local-held correction by three coefficients. The coefficients a re determined self-consistently and depend on the width parameter b an d on the Wigner-Seitz parameter,,. Numerical results for the exchange energy and the correlation energy for 0<r(s)<1000 are presented. The e xchange energy and the correlation energy in the low-density regime ar e described by epsilon(ex)(r(s)-->infinity)proportional to - ln(r(s))/ r(s) and epsilon(cor)(r(s)-->infinity)proportional to - ln(r(s))/r(s) with cor)(r(s)-->infinity)/epsilon(ex)(r(s)-->infinity) approximate to 0.8. We derive analytical and numerical results for the compressibili ty, the chemical potential, screening properties, and bound-state ener gies of positively and negatively charged impurities. The long-distanc e behavior of the pair-correlation function is calculated. The compres sibility sum rule and the long-wavelength behavior of the dielectric f unction are discussed in detail. The Hartree energy is calculated.