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Unformatted text preview: i times a Hermitian operator. (c) With what restriction on the number λ is 1 + iλ→ σ ·→ n 1iλ→ σ ·→ 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 + ( σ x + σ y ) / √ 2 2 1 + (σ x + σ y ) / √ 2 2 ) . What physical meaning can you give to this number? 1 [4] A spin1/2 particle interacts with a magnetic ﬁeld→ B = B ˆ z through the Pauli interaction H = μ→ σ ·→ B where μ is the magnetic moment and→ σ = ( σ x ,σ y ,σ 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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This note was uploaded on 12/12/2009 for the course PHY 201 taught by Professor Bekir during the Spring '09 term at Northeast Wisconsin Technical College.
 Spring '09
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