Bound and anti-bound soliton states for a quantum integrable derivative nonlinear Schrodinger model

Details Bound and anti-bound soliton states for a quantum integrable derivative nonlinear Schrodinger model Bound and anti-bound soliton states for a quantum integrable derivative nonlinear Schrodinger model

2003-05-29

arxiv.org/abs/hep-th/0305252v1

Phys.Lett. A325 (2004) 375-380

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 11 pages, no figures

Scientific paper

10.1016/j.physleta.2004.04.010

We find that localized quantum N-body soliton states exist for a derivative nonlinear Schrodinger (DNLS) model within an extended range of coupling constant (\xi_q) given by 0 < | \xi_q | < 1/\hbar \tan [\pi/(N-1)]. We also observe that soliton states with both positive and negative momentum can appear for a fixed value of \xi_q. Thus the chirality property of classical DNLS solitons is not preserved at the quantum level. Furthermore, it is found that the solitons with positive (negative) chirality have positive (negative) binding energy.

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