Question

3. Let the Harmonic oscillator be subjected to a perturbing potential x
3
. Find energy corrections
using perturbation theory upto second order. The Hamiltonian of the system is: (03)

H =
π
2
2m
+
1
2
mω2x
2 + αx3
where π is the usual momentum operator and α = e~ω(
mω
~
)
3/2

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Answer 1

Answer:

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