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Please answer the following about commuting. a. Does the parity operator commute with the position operator in 1D? b. Does the parity operator commute

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Please answer the following about commuting. a. Does the parity operator commute with the position operator in 1D? b. Does the parity operator commute with the position operator squared x^2 in 1D? c. What do the solutions to an and b above show us about the eigenfunctions of the x and x^2 operators. d. Since two operators do not commute, the product of their uncertainties follows the following relation of deltaA*deltaB >= | | /2 where [A, B] = iC. What does this show us about the precision with which we can measure simultaneously the parity and position? And how about the parity and x^ 2 value?

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