A free particle has the initial wave function (.x, 0) = Ae-a.x² where A and a are constants (a is real and positive). (a) Normalize (.x. 0). (b) Find (x,1). (c) Find |(x, t)1².

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Problem 1.
A free particle has the initial wave
function
W (.r, 0) = Ae-r
where A and a are constants (a is real and positive).
(a) Normalize (.x. 0).
(b) Find (x,1). (c) Find |(x, t)|².
Transcribed Image Text:Problem 1. A free particle has the initial wave function W (.r, 0) = Ae-r where A and a are constants (a is real and positive). (a) Normalize (.x. 0). (b) Find (x,1). (c) Find |(x, t)|².
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