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cse • paper_2 • quantum_mechanicscse-2012-subject-05-004

Quantum operators — UPSC CSE 2012 Physics PYQ

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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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