Exact solvability and quantum integrability of a derivative nonlinear Schrodinger model
Abstract
By using a variant of quantum inverse scattering method (QISM) which is directly applicable to field theoretical systems, we derive all possible commutation relations among the operator valued elements of the monodromy matrix associated with an integrable derivative nonlinear Schrodinger (DNLS) model. From these commutation relations we obtain the exact Bethe eigenstates for the quantum conserved quantities of DNLS model. We also explicitly construct the first few quantum conserved quantities including the Hamiltonian in terms of the basic field operators of this model. It turns out that this quantum Hamiltonian has a new kind of coupling constant which is quite different from the classical one. This fact allows us to apply QISM to generate the spectrum of quantum DNLS Hamiltonian for the full range of its coupling constant.
Keywords
Cite
@article{arxiv.hep-th/0308054,
title = {Exact solvability and quantum integrability of a derivative nonlinear Schrodinger model},
author = {B. Basu-Mallick and Tanaya Bhattacharyya},
journal= {arXiv preprint arXiv:hep-th/0308054},
year = {2009}
}
Comments
6 pages, latex, uses czjphys.cls, contributed to the 12th Int. Colloquium on Quantum Groups and Integrable Systems, Prague, 2003