April 27, 2024, 07:35:17 AM
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Topic: Physical chemistry: determine the normalization constant for the following funct  (Read 3207 times)

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Offline hello1321

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The wavefunction for a particle on a ring is given by Ψ(φ) = N(e^(i*theta) + 2e^(i*2theta))
(a)(6) Determine the normalization constant N.



(b)

(b)(10) Calculate the expectation value of the angular momentum of this particle.

Offline Borek

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Offline hello1321

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Heres what I got so far

Broke it up into 4 seperate intergals

1st intergral ends up beng 2pi

2nd+3rd end up being 0

last intergral ends up being 10 pi

10piN^2=`

my final answer is N=1/((10pi))^(1/2)

which makes makes sense, since the normalization constant for a particle on a ring is 1/((2pi))^(1/2)

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