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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
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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