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

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 0, or, equivalently, ∈  

where A and B are constants.

= A sin (Vex/L), 0