BasuMallick, B and Bhattacharyya, Tanaya and Sen, Diptiman (2003) Novel multiband quantum soliton states for a derivative nonlinear Schrodinger model. [Preprint]

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Abstract
We show that localized Nbody soliton states exist for a quantum integrable derivative nonlinear Schrodinger model for several nonoverlapping ranges(called bands) of the coupling constant \eta. The number of such distinct bands is given by Euler's \phifunction which appears in the context of number theory. The ranges of \eta within each band can also be determined completely using concepts from number theory such as Farey sequences and continued fractions. We observe that Nbody soliton states appearing within each band can have both positive and negative momentum. Moreover, for all bands lying in the region \eta > 0, soliton states with positive momentum have positive binding energy (called bound states), while the states with negative momentum have negative binding energy (antibound states).
Item Type:  Preprint 

Additional Information:  Nucl.Phys. B675 (2003) 516532 
Keywords:  High Energy Physics  Theory;Exactly Solvable;Integrable Systems 
Department/Centre:  Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) 
Depositing User:  Ramnishath A 
Date Deposited:  31 Jul 2004 
Last Modified:  19 Sep 2010 04:13 
URI:  http://eprints.iisc.ac.in/id/eprint/769 
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