## Solution of Radial Function (Hydrogen Atom)

**Derive .**

**Solution:**

To solve the equation derived from problem (1), we look at the asymptotic behavior. First, let us assume a series of solution. But we must take into account as our .

A solution of the form:

and

But can be discarded since if , it blows up. Then, in general, the solution for the equation at any distance is:

.

Substituting gives

.

Taking the first term:

.

Therefore,

.