| 11. | The commutator of any two angular momentum operators ( corresponding to component directions ) is non-zero.
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| 12. | In simpler terms, the total angular momentum operator characterizes how a quantum system is changed when it is rotated.
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| 13. | Where is the four-momentum that has a corresponding 4-momentum operator, and the four-potential.
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| 14. | And one of these factors is the Dirac equation ( see below ), upon inserting the energy and momentum operators.
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| 15. | But this is fundamentally the same thing, because of the close mathematical relation between rotations and angular momentum operators .)
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| 16. | The angular momentum operator plays a central role in the theory of atomic physics and other quantum problems involving rotational symmetry.
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| 17. | The term " angular momentum operator " can ( confusingly ) refer to either the total or the orbital angular momentum.
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| 18. | This may be seen from the fact that the ladder operators contain sums over the position and momentum operators of every atom.
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| 19. | There is no self-adjoint momentum operator " p " for a particle moving on a half-line.
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| 20. | In quantum mechanics, each Pauli matrix is related to an angular momentum operator that corresponds to an observable describing the isospin operator.
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