a. Sketch graphs of the probability density |Ï(x)| 2 for the four states in the finite potential

a. Sketch graphs of the probability density |ψ(x)|² for the four states in the finite potential well of Figure 40.14a. Stack them vertically, similar to theFigure 40.14agraphs of ψ(x).

b. What is the probability that a particle in the n = 2 state of the finite potential well will be found at the center of the well? Explain.
c. Is your answer to part b consistent with what you know about standing waves? Explain.

Transcribed Image Text:

U(x) U, is the depth of the potential-energy well. The particle's energy is E< Ug. -Uo- Classically forbidden region Classically forbidden region Turning -points, х U =0 inside the well.