*Problem 3.13 (a) Prove the following commutator identity: [AB, C] = A[B. C]+[A. C]B. [3.64] (b) Show that [x". p] = ihnx"-!. (c) Show more generally that [f(x), p] = ih- dx [3.65] for any function f(x).

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*Problem 3.13
(a) Prove the following comnutator identity:
[AB, C] = A[B, C]+[A. C]B.
[3.64]
(b) Show that
[x". p] = ihnx"-1.
%3D
(c) Show more generally that
[f (x), p] = ih
dx
[3.65]
for any function f(x).
Transcribed Image Text:*Problem 3.13 (a) Prove the following comnutator identity: [AB, C] = A[B, C]+[A. C]B. [3.64] (b) Show that [x". p] = ihnx"-1. %3D (c) Show more generally that [f (x), p] = ih dx [3.65] for any function f(x).
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