Apply Normalization condition in QM problem

AI Thread Summary
The discussion focuses on applying the normalization condition to the wave function Ѱn(x) = Bcos(nπ/a)x for n=3 in a quantum mechanics problem involving an infinite square well. Participants are tasked with finding the normalization constant B, calculating the expected value <x>, determining the expected momentum <p>, and assessing the probability of locating a particle of mass m between 0 and a/2. The context is set within a well-defined width "a" centered at the origin. The thread seeks assistance and insights on these calculations from the community.
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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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