"Exercise 7.4 (Dr. W.Lindner)" u = (1,0) d = (0,1) uu = (1,0,0,0) ud = (0,1,0,0) du = (0,0,1,0) dd = (0,0,0,1) "density matrix is roh_aa'=
" alpha = 1/sqrt(2) beta = 1/sqrt(2) -- alpha = 1/8 -- beta = sqrt(63)/8 psi = alpha*u + beta*d psi rhouu = dot(u,psi) dot(psi,u) rhouu rhoud = dot(u,psi) dot(psi,d) rhoud rhodu = dot(d,psi) dot(psi,u) rhodu rhodd = dot(d,psi) dot(psi,d) rhodd "density matrix:" rho = ((rhouu, rhoud),(rhodu, rhodd)) rho
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