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## Homework Statement

Consider a perturbed hydrogen atom whose Hamiltonian, in atomic units, is:

H= -1/2(∆^2) – ½ + b/(r^2) (∆ should be upside down), where b is a

positive constant. The Schrodinger equ. for this hamiltonian can be solved

exactly for the energy eigenvalues. The results for the ground state is:

E = -1/[2(B^2)], where B = [1 + (1 + 8b)^(1/2)]/2.

Use first-order perturbation theory in which the perturbation is b/(r^2) to

compute the ground-state energy of the purturbed system for b=0.01,

b=0.10, b=0.50, b=1.0, and b=10.0.

## Homework Equations

## The Attempt at a Solution

I am not sure how to start this problem. Any hints to get me started?