Baxter Operator and Baxter Equation for q-Toda and Toda2 Chains

DOI10.1142/S0129055X18400032zbMath1393.81021arXiv1803.06196MaRDI QIDQ4577022

Vincent Pasquier, O. Babelon, Karol Kajetan Kozlowski

Publication date: 11 July 2018

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

Full work available at URL: https://arxiv.org/abs/1803.06196

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Yang-Baxter equations (16T25)

Related Items (2)

Baxter Operator and Baxter Equation for q-Toda and Toda₂ Chains ⋮ On the spectrum of the local \(\mathbb{P}^2\) mirror curve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The solution to a generalized Toda lattice and representation theory
• Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky
• The spectrum of Jacobi matrices
• Unitary representations of \(U_{q} (\mathfrak s\mathfrak l(2,\mathbb R))\), the modular double and the multiparticle \(q\)-deformed Toda chain
• Quantization condition from exact WKB for difference equations
• The Toda\(_2\) chain
• Discrete Heisenberg-Weyl group and modular group
• The integrable structure of nonrational conformal field theory
• Noncommutative hypergeometry
• Relativistic Toda systems
• SOLUTION OF A CLASS OF CONFORMAL QUANTUM FIELD THEORY MODELS IN D-DIMENSIONAL SPACE
• Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems
• The Yang–Baxter relation and gauge invariance
• On Bäcklund transformations for many-body systems
• The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
• QUANTUM DILOGARITHM
• On the Toda Lattice. II: Inverse-Scattering Solution
• QUANTUM EXPONENTIAL FUNCTION
• Baxter Operator and Baxter Equation for q-Toda and Toda₂ Chains
• Spectral Equations for the Modular Oscillator
• Quantum relativistic Toda chain

This page was built for publication: Baxter Operator and Baxter Equation for q-Toda and Toda₂ Chains