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ifos โ€ข paper_2 โ€ข quantum_mechanics

[UPSC IFoS 2022] Angular momentum, spin etc (Q262, 10M)

The components of the angular momenta \vec{J}_1 and \vec{J}_2 satisfy commutation rules. Show that the components of the sum \vec{J} = \vec{J}_1 + \vec{J}_2 also satisfy the commutation rules. Whether the difference \vec{J}_1 - \vec{J}_2 satisfies an angular momentum?

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