Still stuck!
I know it should be an 8x8 matrix, since there are 8 basis states and I need to find how the Hamiltonian acts on each individual configuration of spins.
Still I am jammed up on how to form this 8x8 matrix...
Hallo!
My question relates to the use of basis states to form operator matrices...
In the context of quantum spin chains, where the Hamiltonian on a chain of N sites is defined periodically as:H = sumk=0N-1[ S(k) dot S(k+1) ] (apologies for the notation)
so there is a sum over k=0 to N-1...