I have a few questions about
NonCommutativeMultiply[p] just d/dx?
Is there a simply way to calculate commutators of operators in mathematic?
My questions refer to implementing this:
rule = NonCommutativeMultiply[y___, p, x, z___] :> NonCommutativeMultiply[y, x, p, z] - I ℏ NonCommutativeMultiply[y, z]; comm = (p ** x ** p)^2 ** p - p ** (p ** x ** p)^2 ; comm = comm /. z_^2 :> z ** z ; comm //. rule // Expand (* 4 ℏ^2 p ** p ** p + 2 I ℏ x ** p ** p ** p ** p *)
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