q-SYMMETRIES IN DNLS-AL CHAINS AND EXACT SOLUTIONS OF QUANTUM DIMERS

DOI10.1142/S0217979299002873zbMath1229.82067arXivquant-ph/9907014MaRDI QIDQ3106569

P. Maniadis, Demosthenes Elllinas

Publication date: 29 December 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9907014

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) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Quantum nonlinear lattices and coherent state vectors

Cites Work

• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• Contraction of quantum algebras and \(q\) oscillators
• Expansions over the ‘‘squared’’ solutions and difference evolution equations
• The quantum theory of local modes in a coupled system of nonlinear oscillators
• q-analogs of IU(n) and U(n,1)
• Casimir operators for su_q(n)
• A Nonlinear Difference Scheme and Inverse Scattering

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