Quantum version of the method of inverse scattering problem

From MaRDI portal
Publication:1170698

DOI10.1007/BF01091462zbMath0497.35072OpenAlexW2090992061WikidataQ59722121 ScholiaQ59722121MaRDI QIDQ1170698

Evgueni K. Sklyanin

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01091462



Related Items

\(r\)-functions with quasi-dynamical spectral parameter, Unnamed Item, Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems, Unnamed Item, Contraction rule of \(q\)-deformed Levi-Civita symbol, Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables, On-shell diagrams, Graßmannians and integrability for form factors, BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters, A constructive approach to the quantum (Cosh \(\phi\) \()_ 2\) model. I. The method of the Gel'fand-Levitan-Marchenko equations, Bethe ansatz for the Izergin-Korepin model, The algebraic Bethe ansatz for rational braid-monoid lattice models, Bäcklund transformation for the nonlinear Schrödinger equation, Lattice \(W_N\) algebra and its quantization, Finite size and finite temperature studies of the \(\operatorname{osp}(1|2)\) spin chain, Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain, Separation of variables for rational \(\mathfrak{gl}(\mathsf{n})\) spin chains in any compact representation, via fusion, embedding morphism and Bäcklund flow, Stokes phenomenon and Poisson brackets in r-matrix form, Exact solution of an anisotropic J 1–J 2 model with the Dzyloshinsky–Moriya interactions at boundaries, Basso-Dixon correlators in two-dimensional fishnet CFT, Novel integrability in string theory from automorphic symmetries, Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories, Form-factors and complete basis of observables via separation of variables for higher rank spin chains, Quantization of the Kadomtsev-Petviashvili equation, Antiperiodic spin-1/2 \(XXZ\) quantum chains by separation of variables: complete spectrum and form factors, Nonlinear Poisson structures and r-matrices, Intertwining operators and the quantum inverse method for the nonlinear Schrödinger equation, Reflection matrices withUq[osp(2)(2|2m) symmetry], Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame, On separation of variables for reflection algebras, Quantum mechanics of null polygonal Wilson loops, Finite-difference representations of the degenerate affine Hecke algebra, Graded reflection equations and the one-dimensional Bariev open chain., Quantum groups and WZNW models, Exact methods in the analysis of the non-equilibrium dynamics of integrable models: application to the study of correlation functions for non-equilibrium 1D Bose gas, Scaling limit of the \(\mathcal{Z}_2\) invariant inhomogeneous six-vertex model, The Bethe ansatz approach for factorizable centrally extended \(\text{su}(2|2)\) \(S\)-matrices, Boundary algebraic Bethe Ansatz for a nineteen vertex model withUq  [osp(2|2)(2) symmetry], Many-Particle Schrödinger Type Finitely Factorized Quantum Hamiltonian Systems and Their Integrability, Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables, YANG–BAXTER EQUATION, MAJORANA FERMIONS AND THREE BODY ENTANGLING STATES, Yang-Baxter equations and quantum entanglements, Integrable spin systems with long-range interactions, An integrable discretization of the rational \({\mathfrak su(2)}\) Gaudin model and related systems, Quantum groups, Analytic Bethe ansatz and Baxter equations for long-range \(\text{psl}(2|2)\) spin chain, Large-distance and long-time asymptotic behavior of the reduced density matrix in the non-linear Schrödinger model, Commutation relations for creation–annihilation operators associated with the quantum nonlinear Schrödinger equation, The chiral WZNW phase space and its Poisson-Lie groupoid, The Q-operator for the quantum NLS model, Hidden quantum \(R\)-matrix in the discrete-time classical Heisenberg magnet, A generalization of the Lax equation, Integrable open boundary conditions for the Bariev model of three coupled XY spin chains, Fusion hierarchies for \(\mathcal N=4\) super-Yang-Mills theory, Exactly solvable single-trace four point correlators in \(\chi \mathrm{CFT}_4\), Quantum nonlinear Schrödinger equation. II. Explicit solution, On quantum separation of variables, Bethe ansatz solution for quantum spin-1 chains with boundary terms, Hexagons and correlators in the fishnet theory, Hamiltonian formalism for the nonlinear Schrödinger equation in physical space–time, Separation of variables in AdS/CFT: functional approach for the fishnet CFT, Solutions of the Yang–Baxter equation for (n + 1) (2n + 1)-vertex models using a differential approach, Double Yangian and the universal \(R\)-matrix, Classical r-matrices and the method of orbits, Algebraic solution of the Hubbard model on the infinite interval, New fundamental symmetries of integrable systems and partial Bethe ansatz, Fermionization and Hubbard models, The quantum inverse scattering method for Hubbard-like models., Reflection \(K\)-matrices for \(19\)-vertex models., On the construction and solution of \(U_q(\widehat{\text{gl}}(2,1;{\mathbb{C}}))\)-symmetric models, Chiral extensions of the WZNW phase space, Poisson-Lie symmetries and groupoids, Twisted Quantum Lax Equations, Mirror channel eigenvectors of the \(d\)-dimensional fishnets, Results on the symmetries of integrable fermionic models on chains, On the simplectization of bi-Hamiltonian structures, Nonabelian Toda theories from parafermionic reductions of the WZW model, Higher charges and regularized quantum trace identities in su(1,1) Landau–Lifshitz model, Simple connection between the geometric and the Hamiltonian representations of integrable nonlinear equations, On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models, The classical Toda lattice with long range interaction, Symmetry properties of Wilson loops with a Lagrangian insertion, Koornwinder polynomials and the \(XXZ\) spin chain, Multiform description of the AKNS hierarchy and classical r-matrix, Quantum superalgebra \(U_q\mathrm{osp}(2,2)\), Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields, Non relativistic limit of integrable QFT with fermionic excitations



Cites Work