Apply Normalization condition in QM problem

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SUMMARY

The discussion focuses on applying normalization conditions to the wave function Ѱn(x) = Bcos(nπ/a)x for a quantum mechanical problem involving a particle in an infinite square well. The primary tasks include determining the normalization constant B, calculating the position , and finding the probability of the particle being located between 0 and a/2. The solution is centered on the width "a" of the well, which is positioned at the origin, specifically for the case where n=3.

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a.) Apply Normalization condition for the n=3 Ѱ-solution to find constant B.

b.) Find <x>

c.) Find <p>

d.) Calculate probability that particle of mass m is located between 0 and a/2.



Given: Ѱn(subscript)(x) = Bcos(n*pi/a)x

Solution to ∞ square well from -a/2 to a/2 (Width "a" centered @ origin)


Thanks for any help.
 
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