position state as: TEX 2:
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![Q3. Consider an infinite potential well of width d. In transitions between neighboring
values of
n, particles of mass that is in a position state as:
|1
TX
-iwot
sin
2πχ
sin
d
f(x. t) =
+
-iwit
d
(a) Proof that f(x.t) is still normalized for all value of t.
(b) Find the probability distribution P(x.t) = |f(x.t)|²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7408245c-a53a-45eb-810d-d52759d7ab58%2F499e93ca-5d5c-4aba-b621-21538a24d89d%2Fcf0xko_processed.jpeg&w=3840&q=75)
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