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Two observables $A$ and $B$ are compatible if their commutator is zero. That is, $[A, B]=0$.
Notations
There seems to be no definite notation but often the commutator notation of $[A, B]=0$ is used to mean that $A$, $B$ are compatible.Concepts
$A$ and $B$ share the same eigenstates
This follows from $A$ and $B$ sharing eigenstates if $[A, B]=0$.
Two observables $A$ and $B$ are compatible if their commutator is zero. That is, $[A, B]=0$.
Notations
There seems to be no definite notation but often the commutator notation of $[A, B]=0$ is used to mean that $A$, $B$ are compatible.Concepts
$A$ and $B$ share the same eigenstates
This follows from $A$ and $B$ sharing eigenstates if $[A, B]=0$.
FullPage
Overview
Notations
Concepts