(Solved): Consider the Harmonic oscillator potential: \[ \widehat{H}_{0}=\frac{p^{2}}{2 ...

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Consider the Harmonic oscillator potential: \[ \widehat{H}_{0}=\frac{p^{2}}{2 m}+\frac{1}{2} m \omega^{2} x^{2} \] Imagine to 'switch on' a perturbation \( W=x^{3} \) which alters the unper \[ \widehat{H}_{0}+W=\frac{p^{2}}{2 m}+\frac{1}{2} m \omega^{2} x^{2}+x^{3} \]