The next three problems solve the Schrdinger equation for finite square wells like that shown in Fig.
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The next three problems solve the Schrödinger equation for finite square wells like that shown in Fig. 35.14. It’s convenient to work in dimensionless forms of the particle energy E and well depth U0, given respectively by ∈ = 2mL2 E/ℏ2 and μ = 2mL2U0/ ℏ2 . Assuming that E < U0, or, equivalently, ∈ < μ, show by substitution that the following wave functions satisfy the Schrödinger equation in the regions indicated:
where A and B are constants.
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This is a problem from quantum mechanics and involves solving the Schrdinger equation for a finite s...View the full answer
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