  Thomas-Fermi model is considered here to make it cogent to capture the
Planck-scale effect with the use of a generalization of uncertainty relation.
Here generalization contains both linear and quadratic terms of momentum. We
first reformulate the Thomas-Fermi model for the non-relativistic case. It has
been shown that it can also be reformulated for taking into account the
relativistic effect. Dialectic screening for the non-relativistic cases has
been studied and the expression of screening length has been found out
explicitly.
