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At time t =
state
0, a quantum particle in the infinite potential well with width a has the
Y(x,0) =
IN
sin
3πχ
a
0;
; 0≤x≤ a,
otherwise
(a) What are the expectation values of position and momentum at t = 0?
(b) What are the expectation values (x²) and (p²) at t = 0?
(c) What are the uncertainties in position and momentum. Calculate the product of the
uncertainties and comment on the result.

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