Basu-Mallick, B and Bhattacharyya, Tanaya and Sen, Diptiman (2004) Quantum Bound States for a Derivative Nonlinear Schrödinger Model and Number Theory. In: Modern Physics Letters A, 19 (36). pp. 2697-2706.
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A derivative nonlinear Schrödinger model is shown to support localized N-body bound states for several ranges (called bands) of the coupling constant η. The ranges of η within each band can be completely determined using number theoretic concepts such as Farey sequences and continued fractions. For N≥3, the N-body bound states can have both positive and negative momenta. For η>0, bound states with positive momentum have positive binding energy, while states with negative momentum have negative binding energy.
|Item Type:||Journal Article|
|Additional Information:||The copyright of this article belongs to World scientific Publishers.|
|Keywords:||Derivative nonlinear Schrodinger model;coordinate Bethe ansatz;soliton;Farey sequence|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Division of Physical & Mathematical Sciences > Mathematics
|Date Deposited:||09 Feb 2005|
|Last Modified:||19 Jan 2012 07:04|
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