Note:-• Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.• Answer completely.• You will get up vote for sure. Problem 2.20 A free particle has the initial wave functionV(x,0) = Ae-alxwhere A and a are positive real constants.(a) Normalize (x, 0).(b) Find (k).(c) Construct (x, t), in the form of an integral.(d) Discuss the limiting cases (a very large, and a very small).

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Answered: Problem 2.20 A free particle has the…

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Problem 2.20 A free particle has the initial wave function V(x,0) = Ae-alx where A and a are positive real constants. (a) Normalize (x, 0). (b) Find (k). (c) Construct (x, 1), in the form of an integral. (d) Discuss the limiting cases (a very large, and a very small).