2002/02/28 by B. Basu-Mallick, Tanaya Bhattacharyya · 1 citation
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic structures and combinatorial models #Bethe ansatz #Integrable system #Inverse #Inverse scattering problem #Monodromy matrix #Nonlinear Waves and Solitons #Nonlinear system #Operator (biology) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum inverse scattering method #cond-mat #hep-th #nlin.SI
paper · pdf · doi:10.1016/s0550-3213(02)00288-2
published as Nucl.Phys. B634 (2002) 611-627 · 17 pages, Latex, minor typos corrected, to be published in Nucl. Phys. B
arxiv created 2002/06/21 · openalex publication_date 2002/07/01 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We find that the quantum monodromy matrix associated with a derivative nonlinear Schrodinger (DNLS) model exhibits U(2) or U(1,1) symmetry depending on the sign of the related coupling constant. By using a variant of quantum inverse scattering method which is directly applicable to field theoretical models, we derive all possible commutation relations among the operator valued elements of such monodromy matrix. Thus, we obtain the commutation relation between creation and annihilation operators of quasi-particles associated with DNLS model and find out the S-matrix for two-body scattering. We also observe that, for some special values of the coupling constant, there exists an upper bound on the number of quasi-particles which can form a soliton state for the quantum DNLS model.