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Question: please write clearly the formulas and concepts behind it thanks...

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Please write clearly the formulas and concepts behind it. Thanks a lot.

5, Electron spin operator s can be expressed with Pauli operator σ as and σ: anticommute with each other. 1 0 0-1 (a) Prove σ., (10 marks) find the other two Pauli matrices. (10 marks) (c) Also in the σ- representation, find the eigenstates and their respective eigenvalues of (b) In the σ- representation, σ 10 marks) (d) If the electron is in the eigenstate with Sy h, find the average value of s (10 marks)

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