Fundamental Commutation Relations in Quantum Mechanics

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All the fundamental quantum-mechanical commutators involving the Cartesian components of position, momentum, and angular momentum are enumerated. Commutators of sums and products can be derived using relations such as and
. For example, the operator
obeys the commutation relations
.
Contributed by: S. M. Blinder (March 2011)
Open content licensed under CC BY-NC-SA
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"Fundamental Commutation Relations in Quantum Mechanics"
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Published: March 7 2011