Question

[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 lvs) () (where the vector regpresenta ion is i to 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 function (ex) (b) Is there a single unique solution to part (o), a inite number of 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).

Answer 1

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