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## Homework Statement

I am looking at the relativistic correction to the kinetic energy for a hydrogen atom. I am told that the perturbation is usually written as

H = -p^4/(8 m^3 c^2)

and need to find the energy shift

## Homework Equations

I know that from the perturbation theory the energy shift is given by

delta E = <n|H|n>

From the unperturbed hamiltonian

p^2 / (2m) = En - V

so we can rewrite the perturbation in terms of En and V

The part I am not sure about is how to approach the wavefunctions n? Normally we have to solve an integral....what do I use as wavefunctions????

thanks