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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## Abstract

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 |
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Publication: | Modern Physics Letters A |

Publisher: | World Scientific Publishing |

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 (Ceased to exist at the end of 2003) Division of Physical & Mathematical Sciences > Mathematics |

Date Deposited: | 09 Feb 2005 |

Last Modified: | 19 Jan 2012 07:04 |

URI: | http://eprints.iisc.ac.in/id/eprint/2718 |

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