# Fundamental Commutation Relations in Quantum Mechanics

Fundamental Commutation Relations in Quantum Mechanics

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 .

[A,B+C]=[A,B]+[A,C]

[A,BC]=B[A,C]+[A,B]C

2

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2

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x

2

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,=,=,=0

2

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2

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