Question Bank MSQ • 2 Marks Section 4: Quantum Mechanics Angular momentum

QB_PH_096: Angular momentum

Question Statement

Which of the following statements regarding Pauli spin matrices $\sigma_x, \sigma_y, \sigma_z$ is/are TRUE?
(A) \sigma_x^2 = \sigma_y^2 = \sigma_z^2 = I
(B) \sigma_x \sigma_y + \sigma_y \sigma_x = 0 \text{ (anticommutation)}
(C) \text{Tr}(\sigma_z) = 0 \text{ and } \det(\sigma_z) = -1
(D) [\sigma_x, \sigma_y] = 2i \sigma_z
Correct Answer
A, B, C, D
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: All four are foundational algebraic properties of Pauli matrices.
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