Abstract
The compressed atom as a model for solid elements is treated within the Thomas-Fermi-Dirac-Weizsacker statistical theory in two different ways: the TFDW-nonlinear differential equations are solved numerically with high accuracy, and a simpler variational procedure is developed, which leads essentially to the same numerical results. The equilibrium radii are calculated for several values of the atomic numberZ. They do not vary withZ and are too small by a factor of 2. Density-pressure relations are discussed for several values ofZ. Moreover, with the first calculational method accurate values for the various contributions to the energy and the total energy in the caseZ=55 are given for the compressed atom.
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