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1.1 Consider the following state vectors: 14/1) = 31+)+ 41-) | 462 ) = 1+) + 2i1-) 14/3) = 31+) - e'7/31-). a) Normalize each
1.1 Consider the following state vectors: 14/1) = 31+)+ 41-) | 462 ) = 1+) + 2i1-) 14/3) = 31+) - e'7/31-). a) Normalize each state vector. b) For each state vector, calculate the probability that the spin component is up or down along each of the three Cartesian axes. Use bra-ket notation for the entire calculation. c) Write each normalized state in matrix notation. d) Repeat part (b) using matrix notation for the entire calculation
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