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1. Homework Statement
The matrix R(q) for rotating an ordinary vector by q around the zaxis is given by@
cosq sinq 0
sinq cosq 0
0 0 1
From R calculate the matrix J(z).
2. Homework Equations

3. The Attempt at a Solution
All I know is that U(q) = exp[iJ(z)q] is the unitary operator which rotates a system, and I believe that
R(q) x = U(dagger)(q) x U(q)
Where x is the position vector.
I have no idea where to go from here, other than expanding U with a taylor series but this didn't seem to go anywhere.
Thanks
The matrix R(q) for rotating an ordinary vector by q around the zaxis is given by@
cosq sinq 0
sinq cosq 0
0 0 1
From R calculate the matrix J(z).
2. Homework Equations

3. The Attempt at a Solution
All I know is that U(q) = exp[iJ(z)q] is the unitary operator which rotates a system, and I believe that
R(q) x = U(dagger)(q) x U(q)
Where x is the position vector.
I have no idea where to go from here, other than expanding U with a taylor series but this didn't seem to go anywhere.
Thanks