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I am looking for thegeneral form of 2x2complex transformation matrix.

I have the article, that says "the relative position of a self-adjoint 2x2 matrix B with respect to A as a reference (corresponding to the transformation from the eigenspaces of A to the eigenspaces of B) is determined bytwo real-valuedparameters."

But the general form of self-adjoint matrix is determined by four real-valued parameters (or three if I limit the matrix by the detU=1), isn't it?

I tried to start with the matrix derived from the Bloch vector, but I doubt, that it's the most general case:

I expect I just made a mistake somewhere, but I can't find the right place.

Thank you,

Jakub

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# Self-adjoint matrix, general form

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