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P7D.7 This problem requires the results for (x), (x2), (px), and (P) obtained in Problem P7D.6. According to Topic 7C, the uncertainty in the position

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P7D.7 This problem requires the results for (x), (x2), (px), and (P) obtained in Problem P7D.6. According to Topic 7C, the uncertainty in the position is Ar = ((x2) ()2)1/2 and for the linear momentum 4p.=(?)-(.))"? (a) Use the results from Problem P7D.6 to find expressions for Ax and Apx- (b) Hence find an expression for the product Arap, (c) Show that for n= 1 and n=2 the result from (b) is in accord with the Heisenberg uncertainty principle, and infer that this is also true for n> 1

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