ifos • paper_2 • quantum_mechanics
[UPSC IFoS 2017] Angular momentum, spin etc (Q291, 15M)
Show that
(i) \hat{L} \times \hat{L} = i \hbar \hat{L}
(ii) [\hat{L}_+, \hat{L}_-] = 2\hbar \hat{L}_z
(iii) \hat{\sigma}_x \hat{\sigma}_y \hat{\sigma}_z = -i
Show that
(i) \hat{L} \times \hat{L} = i \hbar \hat{L}
(ii) [\hat{L}_+, \hat{L}_-] = 2\hbar \hat{L}_z
(iii) \hat{\sigma}_x \hat{\sigma}_y \hat{\sigma}_z = -i
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