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  3. (a) compute the first-order correction to all ener

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

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Physics

(a) Compute the first-order correction to all energy eigenvaluesof a particle in a square well in the region 0 ≤ ? ≤ L with addedpotential: ?(?) = ?o? when 0 ≤ ? ≤ L/2 and ?o(L − ?) when L/2 ≤ ? ≤ L.

(b) Using the given potential, use the variational theorem tocompute an upper bound to the ground state using the trial functionbelow

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

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