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Changing the basis of Pauli spin matrices
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[QUOTE="Phruizler, post: 4802487, member: 423630"] After some thought, I've considered that maybe I can just use the vector representation of [itex]S_z[/itex] kets in the [itex]S_x[/itex] basis. That is, [tex] |+>_x \doteq \begin{pmatrix} 1\\ 0 \end{pmatrix} [/tex] in the [itex]S_x[/itex] basis, and the same for the spin down ket, so I can just plug these vector representations into the eigenvalue equation and solve for the [itex]S_z[/itex] matrix. This will indeed give me the matrix which I asked about above (namely, the same as the [itex]S_x[/itex] the [itex]S_z[/itex] basis). I'm going to assume this is correct unless anyone tells me otherwise! [/QUOTE]
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Changing the basis of Pauli spin matrices
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