- #1
dreamspy
- 41
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Hi
The subject says it all. I'm wondering if [tex][L^2,r^2] = 0[/tex] is true?
regards
Frímannn
The subject says it all. I'm wondering if [tex][L^2,r^2] = 0[/tex] is true?
regards
Frímannn
bigubau said:What do you think ? On what variables does [itex] L^2 [/itex] depend ?
Two operators commute if their order of operations does not affect the final result. In other words, if the operators can be applied in any order and still give the same result, then they commute.
L^2 and r^2 are operators commonly used in quantum mechanics. L^2 represents the squared angular momentum operator, while r^2 represents the squared radial distance operator.
No, L^2 and r^2 do not always commute. They only commute in certain cases, such as when the potential energy is independent of the angular momentum.
If L^2 and r^2 commute, it means that they have a set of common eigenvectors. This allows for simpler calculations and makes it easier to determine the energy levels of a quantum system.
To determine if L^2 and r^2 commute in a specific case, we can use the commutator of the two operators. If the commutator is equal to zero, then the operators commute. If the commutator is non-zero, then the operators do not commute.