ABSTRACT
Let us denote Rnl (r) the radial wave function of the valence electron in an atom and let f (r) denote the function f (r) = rRnl (r). If we neglect the quantum exchange forces, the function f (r) satisfies the differential equation
d2f
dr2 + {
2m 2
[ E +
Ze2
r − V (r)
] − l (l + 1)
r2
} f = 0 (1)
and the normalization condition∫ ∞ 0
| f (r) |2 dr = 1. (2)
The aim of the present article is to give an approximate representation of the function f (r) for the case when the principal quantum number is very big and the azimuth quantum number l is finite or equals zero.1
We set
