Understanding Spin Matrix: Pauli Matrices and 6x6 Matrices

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The discussion revolves around understanding the spin matrix for S=5/2 systems, specifically the 6x6 matrix representation of the Pauli matrices. Participants discuss how to derive the matrix elements for operators S_x, S_y, and S_z using ladder operators and the bra-ket notation. There is a focus on calculating specific matrix elements and the challenges faced by those unfamiliar with the notation and concepts of quantum mechanics. The conversation also touches on the implications of using different units, particularly regarding the inclusion of h-bar in Hamiltonians. Overall, the thread serves as a collaborative effort to clarify complex quantum mechanics concepts related to spin matrices.
  • #31
what is unit of your H? Sorry but there are so many differnt conventions and also what kind of system does this apply to?

I usually call the magnetic field B, and B*S then is not equal energy..

Just go back to the place where you got the hamiltonian, if you can't solve it - start a new thread.
 

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