Use the WKB approximation to find the allowed energies (E n ) of an infinite square well

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

Express your answer in terms of V0 and E0n 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 En >> V0. Compare your result with what we got in Section 7.1.2, using first-order perturbation theory.

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Introduction To Quantum Mechanics

ISBN: 9781107189638

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

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