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25-05-2023
Mathematics

contestada

the two-dimensional rotational group SO(2) is represented by a matrix
U(a) = (cos a sin a -sina cosa :).
The representation U and the group generator matrix S are related by U = exp(iaS).
Determine how S can be obtained from the matrix U, calculate S for SO(2) and and relate it to one of the Pauli matrices.

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