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Calculate the result of the operator-commutator

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Calculate the result of the operator-commutator [x, pˆx] = (x pˆx - pˆx x) acting on a function f(x), using theproduct rule where necessary (pˆx = -i~∂∂x , or pˆx = -i∂∂x if you use atomic units). Next, calculate [x, pˆy]by applying it to a function f(x, y). Comment on your results. Do not use a specific example for f; theresult should be reported in a general form that is valid for any function f.

Reference no: EM13972494

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