Multi-band structure of the quantum bound states for a generalized nonlinear Schrodinger model
High Energy Physics - Theory
2009-11-11 v2 Other Condensed Matter
Exactly Solvable and Integrable Systems
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 \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.
Keywords
Cite
@article{arxiv.hep-th/0502062,
title = {Multi-band structure of the quantum bound states for a generalized nonlinear Schrodinger model},
author = {B. Basu-Mallick and Tanaya Bhattacharyya and Diptiman Sen},
journal= {arXiv preprint arXiv:hep-th/0502062},
year = {2009}
}
Comments
LaTeX, 15 pages including 2 figures