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Unformatted text preview: Additional part, 2 points: Answer question (b) of this problem also for the wave function shown in Example 4.2 on page 175. 4. Problem 4.49, 8 points. Do this problem for the following spinor χ = A 2 + i 1i ! , not for the spinor given in the textbook. 5. Problem 4.31, 6 points. Spin matrices for spin 1. Hints: The matrix for ˆ S z can be easily constructed similarly to Eqs. (4.144) and (4.145). Then, use Eq. (4.136) for s = 1 and construct the operators ˆ S + and ˆ Ssimilarly to Eq. (4.146). Then, obtain ˆ S x and ˆ S y similarly to Eq. (4.147). See next page 2 Homework #2, Phys402, Spring 2011, Prof. Yakovenko Additional part, 4 points: Consider a general wave function for spin 1: χ = A a b c , where a , b , and c are some complex numbers. Determine the normalization coeﬃcient A and the expectation values of ˆ S x , ˆ S y , and ˆ S z in this state. February 9, 2011...
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 Spring '09
 Anlage
 Physics, Work, Wolfgang Pauli, spinor, Pauli matrices, Professor Victor Yakovenko

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