Texts: Please provide all steps and explain each step thoroughly.
(1)
0 =
|+x| + z + |-x| - 2
State the second particle, and Sw) = 1/2|w), w = y, z, [Sx, Sy] = iS (and cyclic permutations thereof). (We set h = 1.)
Points:
- What does the +1/2 value of Sy yield? (5 points)
- If the state evolves in time according to the (time-independent) Hamiltonian (2) H = 2wSxSz, what is the reduced density matrix (statistical operator) for the second particle at time t? (2 points)
z - |2 + z + 2//1 = hF|(z - | + z + Z// = xT1pUW