Simplified Calculation of Boundary S Matrices

Abstract

The antiferromagnetic Heisenberg spin chain with N spins has a sector with N=odd, in which the number of excitations is odd. In particular, there is a state with a single one-particle excitation. We exploit this fact to give a simplified derivation of the boundary S matrix for the open antiferromagnetic spin-1/2 Heisenberg spin chain with diagonal boundary magnetic fields.

8 pages, LaTeX, no figures

Cited by in corpus (15)

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• Direct Calculation of Breather S Matrices
• Soliton S matrices for the critical A_{N-1}^(1) chain
• The XXX spin s quantum chain and the alternating $s^1$, $s^2$ chain with boundaries
• Boundary S Matrix for the XXZ Chain
• Type-I integrable quantum impurities in the Heisenberg model
• Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains
• A note on gl_N type-I integrable defects
• Generic boundary scattering in the open XXZ chain
• Free Energy of the Eight Vertex Model with an Odd Number of Lattice Sites
• Scattering matrices in the sl(3) twisted Yangian
• Non-diagonal reflection for the non-critical XXZ model