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## Main Question or Discussion Point

Hi all,

I must misunderstood somewhere, couldn't figure out the following, any helps will be greatly appreciated.

The first order correction of the pertubated energy is:

[itex]\leftψ

Where:

ψ

Is the solution of the unpertubated Hamiltonian.

My question is can ψ

i.e.,

ψ

Or has to be:

ψ

If it can be the superposition of the eigenstates, then how to construct the first order wave function?

Thanks in advance:)

I must misunderstood somewhere, couldn't figure out the following, any helps will be greatly appreciated.

The first order correction of the pertubated energy is:

[itex]\leftψ

_{n}^{0}\langle[/itex] H^{'}[itex]\rightψ_{n}^{0}\rangle[/itex]Where:

ψ

_{n}^{0}Is the solution of the unpertubated Hamiltonian.

My question is can ψ

_{n}^{0}be the general solution to the Hamiltonian or has to be a specified state vector?i.e.,

ψ

_{n}^{0}= aψ_{1}^{0}+bψ_{2}^{0}Or has to be:

ψ

_{n}^{0}=ψ_{1}^{0}If it can be the superposition of the eigenstates, then how to construct the first order wave function?

Thanks in advance:)