Im confused about taking out the first and second order perturbation effect on a 1d harmonic oscillator.I get to the integration part but dont know where to go from there.(adsbygoogle = window.adsbygoogle || []).push({});

for example if a term of ax^3 is added to the hamiltonian of the harmonic oscillator this is how i start.if i want to take out the result for the ground state i take the square of the wave function for the ground state, multiply it by ax^3 and integrate it.

But now i dont know what the integration limits should be.

Also if i want to find a general solution for all energy states then how should i put in the hermiye polynials as the are a function of x too and im integating wrt x too.

Thanx

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# Perturbation effect on harmonic osclillator

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