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Unformatted text preview: i times a Hermitian operator. (c) With what restriction on the number is 1 + i  n 1i  n , (where n * = n , n  n = 1) , a unitary operator? Write this in the form of part (a) and in the form of part (b) . [3] Find the value of Tr ( 1 + ( x + y ) / 2 2 1 + ( x + y ) / 2 2 ) . What physical meaning can you give to this number? 1 [4] A spin1/2 particle interacts with a magnetic eld B = B z through the Pauli interaction H =   B where is the magnetic moment and = ( x , y , z ) are the Pauli spin matrices. At t = 0 a measurement determines that the spin is pointing along the positive xaxis . What is the probability that it will be pointing along the negative yaxis at a later time t ? 2...
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 Spring '09
 bekir
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