In terms of the î and p operators, calculate the following commutation relations. You can assume h(x) is a fine test function to help facilitate the calculations. Do not include h(x) as part of your answer. (a) Calculate [£2,p]. (b) Calculate [î, p²].
In terms of the î and p operators, calculate the following commutation relations. You can assume h(x) is a fine test function to help facilitate the calculations. Do not include h(x) as part of your answer. (a) Calculate [£2,p]. (b) Calculate [î, p²].
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![In terms of the \(\hat{x}\) and \(\hat{p}\) operators, calculate the following commutation relations. You can assume \(h(x)\) is a fine test function to help facilitate the calculations. Do not include \(h(x)\) as part of your answer.
(a) Calculate \([\hat{x}^2, \hat{p}]\).
(b) Calculate \([\hat{x}, \hat{p}^2]\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e50119e-8646-4255-90fd-98958ba58941%2F793bdbbd-60d9-4c0b-8f51-d0f5be4fd691%2F1kf5sak_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In terms of the \(\hat{x}\) and \(\hat{p}\) operators, calculate the following commutation relations. You can assume \(h(x)\) is a fine test function to help facilitate the calculations. Do not include \(h(x)\) as part of your answer.
(a) Calculate \([\hat{x}^2, \hat{p}]\).
(b) Calculate \([\hat{x}, \hat{p}^2]\).
Expert Solution
Step 1
Use the commutation formula of [x,p] and related properties,
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