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B(1) acts on the vectors of the first space E(1) B(2) acts on the vectors of the second space E(2) B(1)[|1,u_{i}\rangle \otimes 2,u_{j}\rangle] [B(1)|1,u_{i}\rangle] \otimes 2,u_{j}\rangle B(2)[|1,u_{i}\rangle \otimes 2,u_{j}\rangle] |1,u_{i}\rangle] \otimes [B(2) |2,u_{j}\rangle How can they...

Hi. Consider two isomorphic state spaces \mathcal{E}(1) and \mathcal{E}(2). The first belongs to a proton, the second to an electron and they both have the same spin. #Let B(1) be an observable defined on the first space, spanned by |1,u_{i}\rangle, eigenvectors of B(1) with eigenvalues b_i...