Multi-band structure of the quantum bound states for a generalized nonlinear Schrodinger model

Details Multi-band structure of the quantum bound states for a generalized nonlinear Schrodinger model Multi-band structure of the quantum bound states for a generalized nonlinear Schrodinger model

2005-02-05

arxiv.org/abs/hep-th/0502062v2

Phys.Lett. A341 (2005) 371-379

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 15 pages including 2 figures

Scientific paper

10.1016/j.physleta.2005.05.021

By using the method of coordinate Bethe ansatz, we study N-body bound states of a generalized nonlinear Schrodinger model having two real coupling constants c and \eta. It is found that such bound states exist for all possible values of c and within several nonoverlapping ranges (called bands) of \eta. The ranges of \eta within each band can be determined completely using Farey sequences in number theory. We observe that N-body bound states appearing within each band can have both positive and negative values of the momentum and binding energy.

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