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Moved from a technical forum, so homework template missing

Hi, it's been so long since I learned quantum mechanics. So the only thing I can solve now is the square quantum well problem.

But I need help because I have to solve this problem of quantum well.

I tried some calculation but not far.I try to draw the capacitance-voltage profile by drawing the probability distribution when the electron is in the quantum well in the figure, and by finally calculating the variation of external electric field.

Is ∫|ψ|^2dx =1 in well?

How do I get started and how do I code my programs?

I really don't remember anything at all... I'm sorry for the lack of context in this questions.

But I need help because I have to solve this problem of quantum well.

I tried some calculation but not far.I try to draw the capacitance-voltage profile by drawing the probability distribution when the electron is in the quantum well in the figure, and by finally calculating the variation of external electric field.

Is ∫|ψ|^2dx =1 in well?

How do I get started and how do I code my programs?

I really don't remember anything at all... I'm sorry for the lack of context in this questions.