What happens to normalization of wavefunction when you add a perturb correction?

[bjnartowt]

Homework Statement

Consider any ket. Find the perturbative correction to that ket. Then,

|n> = |n0> + |n1>

Here, |n0> is the ket from the unperturbed hamiltonian (who cares what it is), and |n1> is the 1st order correction.

Do you introduce a new normalization when you add the perturbative correction? It seems the sensible thing to do.

Homework Equations

The Attempt at a Solution

 

[dextercioby]

Yes, the 'sum' ket is also normalized to unity. <n|n>=1.