The next three problems solve the Schrdinger equation for finite square wells like that

Chapter 35, Problem 58

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The next three problems solve the Schrdinger equation for finite square wells like that shown in Fig. 35.14. Its convenient to work in dimensionless forms of the particle energy E and well depth U0, given respectively by P = 2mL2 E/U2 and m = 2mL2 U0/U2 . Assuming that E 6 U0, or, equivalently, P 6 m, show by substitution that the following wave functions satisfy the Schrdinger equation in the regions indicated: c1 = A sin12Px/L2, 0 x L c2 = Be -2m- Px/L , x L where A and B are constants

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