commutator of H Hamiltonian of Schrodinger equation and L^2 (square of angular momentum) is zero

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commutator of H Hamiltonian of Schrodinger equation and L^2 (square of angular momentum) is zero
in particle physics and quantum mechanics, a commutator is a mathematical tool represented by \([A,B]=AB-BA\) that measures the extent to which two operators, \(A\) and \(B\), fail to commute. If \([A,B]=0\), the operators commute, meaning the corresponding physical observables can be measured simultaneously without affecting each other.