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Probability and infinite potential well in quantum mechanics

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What is the probability that an electron in the infinite well in the state Un(x) =[(2/L)^.5]*sin(Pi*n*x/L) is found in the region between x = 0 and x = L/2 , where the Un are the eigenfunctions of the infinite-well potential?

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I have shown the steps in determining the probability of finding the electron in a certain region of an infinite potential well. This two page word document is neatly written utilizing the equation editor.

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