Physics – Quantum Physics
Scientific paper
2007-03-07
Physics
Quantum Physics
13 pages, to appear in International Journal of Information & Systems Sciences
Scientific paper
We give an explicit comparison of eigenvalues and eigenvectors of XY Hamiltonians of an open linear spin-1/2 chain and a closed spin-1/2 ring with periodic in space coefficients. It is shown that the Hamiltonian of a k-periodic chain with nk-1 sites has (n-1)k multiplicity one eigenvalues which are eigenvalues of multiplicity two for a Hamiltonian of a k-periodic ring with 2kn sites. For the corresponding eigenvectors in the case of a chain an explicit expression in terms of eigenvectors of the ring Hamiltonian is given. The remaining k-1 eigenvalues of the chain Hamiltonian and 2k eigenvalues of the ring Hamiltonian, together with the corresponding eigenvectors, are responsible for the difference between chain and ring models which displays in the boundary effects at the ends of the chain and translation invariance of the periodic ring.
No associations
LandOfFree
Boundary Effects in Non-Uniform Spin Chains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Boundary Effects in Non-Uniform Spin Chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary Effects in Non-Uniform Spin Chains will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-255470