Calculate the first-order correction to the energy of a, Mechanical Engineering

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Calculate the first-order correction to the energy of a

Calculate the first-order correction to the energy of a ground-state harmonic oscillator subject to an anharmonic potential of the form ax³ +bx⁴ where a and b are small (anharmonicity) constants. Consider the three cases in which the anharmonic perturbation is present

(a) during bond expansion (x ≤ 0) and compression (x ≥ 0),

(b) during expansion only,

(c) during compression only.

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