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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 = A 2 + i 1-i ! , not for the spinor given in the textbook. 5. Problem 4.31, 6 points. Spin matrices for spin 1. Hints: The matrix for 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 S + and S-similarly to Eq. (4.146). Then, obtain S x and 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: = A a b c , where a , b , and c are some complex numbers. Determine the normalization coecient A and the expectation values of S x , S y , and S z in this state. February 9, 2011...
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