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
Publication:	Physics Letters A
Publisher:	Elsevier Science BV
Additional Information:	Copyright for this article belongs to Elsevier.
Keywords:	Nonlinear Schr�¶dinger model;Coordinate Bethe ansatz;Bound states
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	28 Jul 2005
Last Modified:	19 Sep 2010 04:19
URI:	http://eprints.iisc.ac.in/id/eprint/3465

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