A free particle has the initial wave function (.x. 0) = Ae-alx| where 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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A free particle has the initial wave function
(.x. 0) = Ae-alx|
where 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).
Transcribed Image Text:A free particle has the initial wave function (.x. 0) = Ae-alx| where 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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