What relationship mathematically defines the non-commutativity between the position ($\hat{x}$) and momentum ($\hat{p}$) operators?

Answer

$[\hat{x}, \hat{p}] = i\hbar$

The relationship between the operators representing position and momentum is defined by the commutation relation $[ hat{x}, hat{p}] = i hbar$, which mathematically enforces the Uncertainty Principle.

What relationship mathematically defines the non-commutativity between the position ($\hat{x}$) and momentum ($\hat{p}$) operators?

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