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

Basu-Mallick, B and Bhattacharyya, Tanaya and Sen, Diptiman (2005) Multi-band structure of a coupling constant for quantum bound states of a generalized nonlinear Schrodinger model. In: Physics Letters A, 341 (5-6). 371--379.

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Abstract

Using Bethe ansatz we study N-body bound states of a generalized nonlinear Schrodinger model with two coupling constants c and \eta. We find that bound states exist for all values of c but only within certain ranges (called bands) of \eta. These ranges are governed by Farey sequences in number theory.

Item Type: Journal Article Copyright for this article belongs to Elsevier. Nonlinear SchrÃ�Â¶dinger model;Coordinate Bethe ansatz;Bound states Division of Physical & Mathematical Sciences > Centre for High Energy Physics 28 Jul 2005 19 Sep 2010 04:19 http://eprints.iisc.ernet.in/id/eprint/3465