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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04ba0d2e-7ae6-4b41-87bc-b030366cd717%2F008ff8c0-6727-49d6-86bf-6aa7b273b116%2F1v1c6qb_processed.jpeg&w=3840&q=75)
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