In real linear space, we can use the rotation matrix in terms of Euler angle to rotate any vector in that space. I know in hilbert space, the corresponding rotation matrix is so-called unitary operator. I wonder how do I construct such matrix to rotate a complex vector in hilbert space? Can I use the real matrix (for real linear space) to rotate the real and imaginary part separately?(adsbygoogle = window.adsbygoogle || []).push({});

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# Rotation in hilbert space?

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