The next three problems solve the Schrdinger equation for finite square wells like that
Chapter 35, Problem 58(choose chapter or problem)
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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