Quantum curve in \(q\)-oscillator model

DOI10.1155/IJMMS/2006/92064zbMath1125.82010arXivnlin/0510048MaRDI QIDQ885649

N. E. Zubov

Publication date: 14 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0510048

zbMATH Keywords

transfer matrixintegrabilityclassical limit\(q\)-oscillatorBethe ansatz equationsdeformed Weyl-algebratetrahedron equations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

Unnamed Item ⋮ Tetrahedron and 3D reflection equation from PBW bases of the nilpotent subalgebra of quantum superalgebras

Cites Work

• Unnamed Item
• Integrability of \(q\)-oscillator lattice model
• The Yang-Baxter equations and the Zamolodchikov model
• New solvable lattice models in three dimensions
• The vertex formulation of the Bazhanov-Baxter model.
• 3D symplectic map
• Complex of three-dimensional solvable models
• YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND BETHE ANSATZ
• On Exact Solution of a Classical 3D Integrable Model
• Quantum 2 + 1 evolution model
• Zamolodchikov's tetrahedron equation and hidden structure of quantum groups
• Auxiliary transfer matrices for three-dimensional integrable models
• Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory

This page was built for publication: Quantum curve in \(q\)-oscillator model