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Unformatted text preview: i times a Hermitian operator. (c) With what restriction on the number ╬╗ is 1 + i╬╗-Ôćĺ ¤â ┬Ě-Ôćĺ n 1-i╬╗-Ôćĺ ¤â ┬Ě-Ôćĺ n , (where-Ôćĺ n * =-Ôćĺ n ,-Ôćĺ n ┬Ě-Ôćĺ n = 1) , a unitary operator? Write this in the form of part (a) and in the form of part (b) .  Find the value of Tr ( 1 + ( ¤â x + ¤â y ) / ÔłÜ 2 2 1 + (-¤â x + ¤â y ) / ÔłÜ 2 2 ) . What physical meaning can you give to this number? 1  A spin-1/2 particle interacts with a magnetic ´Čüeld-Ôćĺ B = B ╦ć z through the Pauli interaction H = ╬╝-Ôćĺ ¤â ┬Ě-Ôćĺ B where ╬╝ is the magnetic moment and-Ôćĺ ¤â = ( ¤â x ,¤â y ,¤â z ) are the Pauli spin matrices. At t = 0 a measurement determines that the spin is pointing along the positive x-axis . What is the probability that it will be pointing along the negative y-axis 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