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Problem 2.
Consider the double delta-function potential
V(x) = a[8(x + a) + 8(x − a)],
where a and a are positive constants.
(a) Sketch this potential.
(b) How many bound states does it possess? Find the allowed energies, for a =
ħ²/ma and for a = ħ²/4ma, and sketch the wave functions.

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