Use the WKB approximation in the form [8.55]to estimate the bound state energies for hydro...

Use the WKB approximation in the form

 [8.55]

to estimate the bound state energies for hydrogen. Don’t forget the centrifugal term in the effective potential (Equation 1). The following integral may help:

 [8.56]

Note that you recover the Bohr levels when n >> l and n >> 1/2. Answer:

 [8.57]

Equation 1