6. Some particles (certain atomic nuclei, and certain mediating particles) have spin 1. This means that...

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6. Some particles (certain atomic nuclei, and certain mediating particles) have spin 1. This means that in a Stern-Gerlach experiment they yield three measurements: h, 0, -h. This means that now we need a 3-dimensional Hilbert space, spanned by an orthonormal basis |+),0), z), assuming we detect the vertical component of the spin. The components of S, are +) =+)+20) + |_) |+) = |+) - |=_), |x)= | | 2+)- |20) + |). Suppose the state of a spin-1 particle is zo). What is the probability that a measurement of S, yields zero? 6. Some particles (certain atomic nuclei, and certain mediating particles) have spin 1. This means that in a Stern-Gerlach experiment they yield three measurements: h, 0, -h. This means that now we need a 3-dimensional Hilbert space, spanned by an orthonormal basis |+),0), z), assuming we detect the vertical component of the spin. The components of S, are +) =+)+20) + |_) |+) = |+) - |=_), |x)= | | 2+)- |20) + |). Suppose the state of a spin-1 particle is zo). What is the probability that a measurement of S, yields zero?