Algebraic Bethe ansatz for a quantum integrable derivative nonlinear Schrodinger model

Details Algebraic Bethe ansatz for a quantum integrable derivative nonlinear Schrodinger model Algebraic Bethe ansatz for a quantum integrable derivative nonlinear Schrodinger model

2002-02-06

arxiv.org/abs/hep-th/0202035v2

Nucl.Phys. B634 (2002) 611-627

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex, minor typos corrected, to be published in Nucl. Phys. B

Scientific paper

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.

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