Recent content by RiceSweet

I have the general expansion form of the rotation operator already. The problem that I am struggling with is that I didn't know how to break down the derivative of this Euler angle vector (theta), and do the right integral.

Yes, because those rotations are acting on spins. For example, if We act this rotation operator related to Sz on an eigenstate |00>, we will get e^(0) = 1 as our result, and we can not reverse our process. Since our eigenvalue of |00> corresponding to the Sz operator is just 0.

Hello, thanks for your reply. I made a mistake of Sz matrix, and I just updated the correct matrix. Those two matrices do have a determine as well as trace equal to 0 because those matrices are the matrix representation of Sz and S^2 operator of spin 1/2 1/2 system in Quantum Mechanics. The...

Sorry that I made a mistake for one of mine matrix. The matrix of Sz should like as follows

Hello, I was struggling with solving a specific integral. I know that I can rewrite the exponential matrices and the range of the three Euler angles. However, I am not sure I should I write in terms those three Euler angles.

I am a fourth-year physics student, and I am really interested in the field of Quantum Mechanics. I hope I can use this forum a lot for discussing relative topics and get a better understanding of it.