[5] A large number of spin-1/2 particles are run through a Stern-Gerlach machine. When they emerge. all particles have the same spin wave function s)- (where the vector representation is in the...
[5] A large number of spin-1/2 particles are run through a Stern-Gerlach machine. When they emerge. all particles have the same spin wave function s)- (where the vector representation is in the basis set of eigenvectors of Sz. The spin of the particles is measured in the z-direction. On average, 2/3 of the particles have spin in the +z direction and 1/3 in the z direction. (a) Determine one possible normalized spin wave functio tere a single unique solution to part (a), a finite number cof different solutions, or an infinite number of different solutions? Justify. (Note that multiplying the wave function by a constant does NOT count as a different solution).
[5] A large number of spin-1/2 particles are run through a Stern-Gerlach machine. When they emerge. all particles have the same spin wave function s)- (where the vector representation is in the basis set of eigenvectors of Sz. The spin of the particles is measured in the z-direction. On average, 2/3 of the particles have spin in the +z direction and 1/3 in the z direction. (a) Determine one possible normalized spin wave functio tere a single unique solution to part (a), a finite number cof different solutions, or an infinite number of different solutions? Justify. (Note that multiplying the wave function by a constant does NOT count as a different solution).