(a) Compute the first-order correction to all energy eigenvalues of a particle in a square well...

(a) Compute the first-order correction to all energy eigenvalues of a particle in a square well in the region 0 ≤ ? ≤ L with added potential: ?(?) = ?_o? when 0 ≤ ? ≤ L/2 and ?_o (L − ?) when L/2 ≤ ? ≤ L.

(b) Using the given potential, use the variational theorem to compute an upper bound to the ground state using the trial function below

∅(?) = ?₁ (2/L)^1/2 sin ( ??/L ) + ?₂ (2/L)^1/2 sin ( 2??/L )

Expert Solution

please check all the calculations.

genius_generous answered 1 year ago

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