ABSTRACT
In the Thomas-Fermi atom model [81, 82] there exists the so-called ThomasFermi equation
u′′(x) =
√ u3(x)
x , (9.1)
subject to the boundary conditions
u(0) = 1, u(+∞) = 0 (9.2) in the common case. The Thomas-Fermi atom model views the electrons in an atom as a gas and derives atomic structure in terms of the electrostatic potential and the electron density in the ground state. Equation (9.1) describes the spherically symmetric charge distribution concerning a multi-electron atom.
