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Problems 207
7.3 Show that the pair of operators ó y , ó z anticommute.
7.4 Using the Pauli spin matrices in equation (7.25) and the spinors in (7.13),
^ ^
(a) construct the operators ó and ó ÿ corresponding to S and S ÿ
2
(b) operate on jái and on jâi with ó , ó z , ó , ó ÿ , ó x , and ó y and compare the
results with equations (7.14), (7.15), (7.16), and (7.17).
7.5 Using the Pauli spin matrices in equation (7.25), verify the relationships in (7.19)
and (7.22).
