Abstract
Relativistic Thomas-Fermi calculations for finite nuclei including quantum corrections up to second order in \ensuremath{\Elzxh}, i.e., Wigner-Kirkwood and exchange corrections, have been performed. A linear \ensuremath{\sigma}-\ensuremath{\omega} model is used, in case of exchange-corrected calculations extended by \ensuremath{\pi}-nucleon and tensor \ensuremath{\rho}-nucleon contributions. A detailed discussion of the outcome shows that the inclusion of quantum corrections improves the description of the nuclear surface and the classical forbidden region in comparison to the standard relativistic Thomas-Fermi model. Furthermore, special attention is devoted to the investigation of the spin-orbit interaction and the influence of the \ensuremath{\sigma}-meson mass on nuclear properties.
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