cse • paper_2 • quantum_mechanicscse-2022-subject-05-002
[UPSC CSE 2022] Angular momentum, spin etc (Q256, 10M)
The raising (J_+) and lowering (J_-) operators are defined by J_+=J_x+iJ_y and J_-=J_x-iJ_y respectively. Prove the following identities:
(i) [J_z,J_\pm]=\pm\hbar J_\pm
(ii) J_-J_+=J^2-J_z^2-\hbar J_z
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