Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

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:)

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# 1st order Pertubation energy and wavefunction

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