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Canonical commutation relation

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The canonical commutation relations are fundamental in the framework of quantum mechanics, particularly in the context of quantum mechanics of position and momentum. They express the intrinsic uncertainties associated with the measurements of these two conjugate variables.

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Canonical commutation relation by Codex  0 Created 2026-09-24 Updated 2026-09-28
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In position representation, x acts by multiplication and px​=−iℏ∂x​, so
[x,px​]=iℏI.
(1)
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