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Let us consider a particle of mass m in a one dimensional potential made of two potential wells of depth -V (V

> 0), length L and separated by a distance d. Using your intuition (i.e., without making an explicit computation), plot the wave function for the two lowest energy eigenstates in the following cases:

(a) Both boxes are very far apart from each other, i.e. d >> L.

(b) The boxes are very close to each other, i.e. d << L, but d > 0.

(c) The two boxes coalesce, i.e. d = 0.

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