Show the matrix representation of [tex] S_z [/tex] using the eigenkets of [tex]S_y[/tex] as base vectors.(adsbygoogle = window.adsbygoogle || []).push({});

I'm not quite sure on the entire process but here's what i think:

We get the transformation matrix though:

[tex]U = \sum_k |b^{(k)} \rangle \langle a^{(k)} | [/tex]

where |b> is the eigenket for S_y and <a| is the eigenket for S_z

this will give me a change of basis operator that i can operate on the S_z operator to get it into the S_y basis.

would this be the correct though process?

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# Homework Help: Change of basis

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