Bound and anti-bound soliton states for a quantum integrable derivative nonlinear Schrodinger model

Basu-Mallick, B and Bhattacharyya, Tanaya and Sen, Diptiman (2003) Bound and anti-bound soliton states for a quantum integrable derivative nonlinear Schrodinger model. [Preprint]

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Abstract

We find that localized quantum N-body soliton states exist for a derivative nonlinear Schrodinger (DNLS) model within an extended range of coupling constant (\xi_q) given by 0 < | \xi_q | < 1/\hbar \tan [\pi/(N-1)]. We also observe that soliton states with both positive and negative momentum can appear for a fixed value of \xi_q. Thus the chirality property of classical DNLS solitons is not preserved at the quantum level. Furthermore, it is found that the solitons with positive (negative) chirality have positive (negative) binding energy.

Item Type:	Preprint
Additional Information:	Phys.Lett. A325 (2004) 375-380
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)
Date Deposited:	31 Jul 2004
Last Modified:	19 Sep 2010 04:13
URI:	http://eprints.iisc.ac.in/id/eprint/773

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