| 1. | The operator, specifically called the " orbital angular momentum operator ".
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| 2. | This looks very similar to the commutation relation of the position and momentum operator.
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| 3. | That is, the commutator for the angular momentum operators are then commonly written as
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| 4. | And these are essentially the commutators the orbital and spin angular momentum operators satisfy.
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| 5. | Examples are the total angular momentum operators.
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| 6. | Where is the 4-gradient, and the becomes preceding the 3-momentum operator.
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| 7. | If we apply the linear momentum operator
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| 8. | This is a commonly encountered form of the momentum operator, though not the most general one.
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| 9. | The are the components of the momentum, understood to be the momentum operator in the Schr�dinger equation.
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| 10. | Many terms in the Hamiltonians of atomic or molecular systems involve the scalar product of angular momentum operators.
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