Use the WKB approximation to find the allowed energies (E n ) of an infinite square well with a shelf, of height V 0 , extending half way across (Figure 7 3) Express your answer in terms of V 0 and E 0 n (n) 2 2ma 2 (the nth allowed energy for the infinite square well with no shelf) Assume that E 0 1 V 0 , but do not assume that E n V 0 Compare your result with what we got in Section 7 1 2, using first order perturbation theory Vo, V(x) 0, (0

Question: Use the WKB approximation to find the allowed energies (E n ) of an infinite square well with a shelf, of height V 0 ,

Use the WKB approximation to find the allowed energies (E_n) of an infinite square well with a “shelf,” of height V₀, extending half-way across (Figure 7.3):

Vo, V(x) = {0, (0

Express your answer in terms of V₀ and E⁰_n Ξ (nπћ)² /2ma² (the nth allowed energy for the infinite square well with no shelf). Assume that E⁰₁ > V₀, but do not assume that E_n >> V₀. Compare your result with what we got in Section 7.1.2, using first-order perturbation theory.

Vo, V(x) = {0, (0

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