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