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cse โ€ข paper_2 โ€ข quantum_mechanics

[UPSC CSE 2008] Foundations of Quantum Mechanics (Q68, 10M)

An electron is in the spin state \chi = A \begin{pmatrix} 3i \\ 4 \end{pmatrix}. Determine the normalization constant A. Find the expectation value of the spin operator \hat{S}_x and also the uncertainty in the value of S_x in this state.

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