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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

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