Algebraic Bethe ansatz for a quantum integrable derivative nonlinear Schrödinger model

DOI10.1016/S0550-3213(02)00288-2zbMath0995.81040arXivhep-th/0202035MaRDI QIDQ1602338

Tanaya Bhattacharyya, Bireswar Basu-Mallick

Publication date: 19 June 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0202035

zbMATH Keywords

commutation relationsquantum inverse scattering methodquantum monodromy matrix

Mathematics Subject Classification ID

Model quantum field theories (81T10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

Soliton perturbation theory for the modified nonlinear Schrödinger equation ⋮ Jost solutions and quantum conserved quantities of an integrable derivative nonlinear Schrödinger model ⋮ Clusters of bound particles in the derivative \(\delta \)-function Bose gas ⋮ Novel multi-band quantum soliton states for a derivative nonlinear Schrödinger model ⋮ Multi-band structure of a coupling constant for quantum bound states of a generalized nonlinear Schrödinger model ⋮ FERMIONIC DUAL OF ONE-DIMENSIONAL BOSONIC PARTICLES WITH DERIVATIVE DELTA FUNCTION POTENTIAL ⋮ Quantum integrability of bosonic massive Thirring model in continuum ⋮ Bound and anti-bound soliton states for a quantum integrable derivative nonlinear Schrödinger model

Cites Work

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• Fractional statistics in one dimension: View from an exactly solvable model
• Integrability of classical and semiclassical derivative non-linear Schrodinger equation with non-ultralocal canonical structure
• An exact solution for a derivative nonlinear Schrödinger equation
• Classical and quantum integrability of a derivative nonlinear Schrödinger model related to quantum group
• Non-abelian integrable systems of the derivative nonlinear Schrödinger type
• Connection between Yangian symmetry and the quantum inverse scattering method
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Complete integrability of derivative nonlinear Schrödinger-type equations
• Yangian symmetry in the nonlinear Schrödinger hierarchy

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