articleTop 10% cited
Boundary conditions for integrable quantum systems
Journal of Physics A Mathematical and General · 1988 · Vol. 21(10) · pp. 2375–2389
E. K. Sklyanin✉(Steklov Mathematical Institute)
Abstract
A new class of boundary conditions is described for quantum systems integrable by means of the quantum inverse scattering (R-matrix) method. The method proposed allows the author to treat open quantum chains with appropriate boundary terms in the Hamiltonian. The general considerations are applied to the XXZ and XYZ models, the nonlinear Schrodinger equation and Toda chain.
Nonlinear Waves and SolitonsAlgebraic structures and combinatorial modelsNonlinear Photonic SystemsQuantum inverse scattering methodIntegrable systemHamiltonian (control theory)QuantumBoundary value problemMathematical physicsSchrödinger equationNonlinear systemInverse scattering problemBoundary (topology)
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References
Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models
Journal of Physics A Mathematical and General · 1987 · 501 citations
Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
Annals of Physics · 1979 · 1,896 citations
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