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2. We showed in class that [X, P]=ih. a. Calculate [X', P] and [X, P'] (4 points each) b. Show that for any natural number,
2. We showed in class that [X, P]=ih. a. Calculate [X', P] and [X, P'] (4 points each) b. Show that for any natural number, n, [X", P] = nix" (4 points) c. For an operator B(X) that can be expanded in a Taylor series around X=0, show that [B(X), X]=0 and [B(X), P]= ih. B(X) (4 points each)
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