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The conserved quantity arising from a rotational invariance. Combine with rotational-dynamics for the classical mechanics approach and quantum-mechanics for the QM interpretation

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Does the angular momentum vector operator $\hat{\vec{J}}$ have no eigenstates?

As the components of angular operator $\hat J$ does not commute, you couldn't find a vector which is an eigenstate of all three components $\hat J_x, \hat J_y, \hat J_z$, talking about the eigenstates …
Fei Zhang's user avatar