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Question: 415pts an infinite square well has 0 for xgt b...

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4)15pts An infinite square well has 0 for x> -b, x<a else 13pts(a) Draw the potential well. 14pts] (b) Assuming a trial solution, (x) Asin(kx) + Bcos(kx), solve the boundary conditions to find a constraint on k restricting it to a discrete set of values, k → kn. (aka. What is kn?) 3pts](c) Given kn, what is En? 15pts(d) Find ψη (x) inside and outside the well. Make sure you normalize ψη (x). [hint: You can check your answer against standard square well by setting b-0 at the end.
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