Operations and Commutator Relationships
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Please answer question number 8 only. Please see the attached file.
Commutators: One of the characteristics of operators if that they generally do not commute. We define the commutator of two operators through the expression [A,B] = [A][B] - [B][A].
Prove the following commutator relationships: (a) [x,p] = i^h, (b) [E,t] = i^h, (c) [x,t] = 0, (d) [p,E] = 0.
(e) Do you believe that these results are related to the fact that delta(x)delta(p) (greater or less than) 1/2h, delta(E)delta(t) (greater or less than) 1/2h, delta(x)delta(t) (greater or less than) 0, and delta(E)delta(p) (greater or less than) 0? Explain.
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Solution Summary
This solution provides proofs for commutator relationships. The characteristics of operators if they generally do not commute is determined.
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