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

B. Basu-Mallick·Tanaya Bhattacharyya·Diptiman Sen
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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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B. Basu-Mallick, Tanaya Bhattacharyya, Diptiman Sen. 2005-07-05. Multi-band structure of the quantum bound states for a generalized nonlinear Schrodinger model. https://doi.org/10.1016/j.physleta.2005.05.021

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