Thumbnail
Access Restriction
Open

Author Basu-Mallick, B. ♦ Bhattacharyya, Tanaya ♦ Sen, Diptiman
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2003-07-15
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ Condensed Matter ♦ Nonlinear Sciences - Exactly Solvable and Integrable Systems ♦ physics:cond-mat ♦ physics:hep-th ♦ physics:nlin
Abstract We show that localized N-body soliton states exist for a quantum integrable derivative nonlinear Schrodinger model for several non-overlapping ranges (called bands) of the coupling constant \eta. The number of such distinct bands is given by Euler's \phi-function 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 N-body 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 (anti-bound states).
Description Reference: Nucl.Phys. B675 (2003) 516-532
Educational Use Research
Learning Resource Type Article
Page Count 20


Open content in new tab

   Open content in new tab