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cse • paper_2 • quantum_mechanicscse-2009-subject-05-007

Pauli spin matrices — UPSC CSE 2009 Physics PYQ

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Show that the Pauli Spin Matrices obey the following relations : (i) \text{Tr} (\sigma_x) = \text{Tr} (\sigma_y) (ii) \det (\sigma_y) = \det (\sigma_z) (iii) The eigenvalues of \sigma_z and \sigma_x are the same. (iv) Write down the y-component of the spin angular momentum matrix corresponding to an antineutrino.

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