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cse โ€ข paper_2 โ€ข quantum_mechanics

[UPSC CSE 2012] Angular momentum, spin etc (Q312, 6M)

Given that \sigma_x,\sigma_y,\sigma_z are Pauli spin operators, prove the following relationships:

(i) \sin(\sigma_x\varphi)=\sigma_x\sin\varphi

(ii) \cos(\sigma_z\varphi)=\cos\varphi

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