Problems with using separated variables for computing expectation values for higher ranks

DOI10.1007/s11005-016-0823-0zbMath1381.70031arXiv1506.08042OpenAlexW3104453202MaRDI QIDQ263912

F. Blanchet-Sadri, M. Dambrine

Publication date: 5 April 2016

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08042

zbMATH Keywords

integrable modelsseparation of variablesaffine Jacobi variety

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Algebraic geometry methods for problems in mechanics (70G55)

Related Items

Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables, Current operators in integrable models: a review, On quantum separation of variables, On the calculation of the correlation functions of the $ \newcommand{\slt}{\mathfrak{sl}_2} \newcommand{\sltr}{\mathfrak{sl}_3} \sltr$ -model by means of the reduced qKZ equation, Separation of variables and scalar products at any rank, Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields

Cites Work

• Unnamed Item
• Unnamed Item
• Hidden Grassmann structure in the \(XXZ\) model. II: Creation operators
• Separation of variables in the classical integrable \(\mathrm{SL}(3)\) magnetic chain
• Darboux coordinates and Liouville-Arnold integration in loop algebras
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Hidden Grassmann structure in the \(XXZ\) model
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• Hidden Grassmann structure in the XXZ model III: introducing the Matsubara direction
• Structure of matrix elements in the quantum Toda chain
• Cohomologies of affine hyperelliptic Jacobi varieties and integrable systems