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QM Spin Function Question
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[QUOTE="bmb2009, post: 4540994, member: 438905"] [h2]Homework Statement [/h2] A number of spin 1/2 particles are run through a Stern-Gerlach apparatus and when the emerge they all have the same spin wave function (ψ[SUB]1[/SUB], ψ[SUB]2[/SUB])[SUP]τ[/SUP] and 9/25 are in the +z direction and 16/25 are in the -z direction with the normal basis column vectors for +z and -z. Determine a possible normalized spin wave function (ψ[SUB]1[/SUB], ψ[SUB]2[/SUB])[SUP]τ[/SUP] [h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] I am not sure where to start, all i can think of is to have 9/25(+z) = (9/25,0)[SUP]τ[/SUP] and 16/25(-z) = (0, 16/25)[SUP]τ[/SUP] to yield a total wave function of (9/25,16/25)[SUP]τ[/SUP] but I don't know what to do for the normalization or if my initial thought was even on the right track? Thanks for the guidance! [/QUOTE]
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