Multi-band structure of the quantum bound states for a generalized nonlinear Schrodinger model
arXiv:hep-th/0502062 · doi:10.1016/j.physleta.2005.05.021
Abstract
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 η. It is found that such bound states exist for all possible values of c and within several nonoverlapping ranges (called bands) of η. The ranges of ηwithin 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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