It is more convenient to deal with the dimensionless grand potential defined as::formula_4Following the procedure described in the gas in a box article, we can apply the Thomas–Fermi approximation which assumes that the average energy is large compared to the energy difference between levels so that the above sum may be replaced by an integral::formula_5The degeneracy "dg " may be expressed for many different situations by the general formula::formula_6where α is a constant, formula_7 is a "critical energy", and Γ is the Gamma function.
It is more convenient to deal with the dimensionless grand potential defined as:: formula_3Following the procedure described in the gas in a box article, we can apply the Thomas-Fermi approximation which assumes that the average energy is large compared to the energy difference between levels so that the above sum may be replaced by an integral:: formula_4The degeneracy "dg " may be expressed for many different situations by the general formula:: formula_5where α is a constant, formula_6 is a «critical energy», and Γ is the Gamma function.