Quantum bound states for a derivative nonlinear Schrodinger model and number theory

Details Quantum bound states for a derivative nonlinear Schrodinger model and number theory Quantum bound states for a derivative nonlinear Schrodinger model and number theory

2004-06-17

arxiv.org/abs/hep-th/0406144v1

Mod.Phys.Lett. A19 (2004) 2697-2706

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 7 pages including 2 figures, to appear in Mod. Phys. Lett. A

Scientific paper

A derivative nonlinear Schrodinger model is shown to support localized N-body bound states for several ranges (called bands) of the coupling constant eta. The ranges of eta within each band can be completely determined using number theoretic concepts such as Farey sequences and continued fractions. For N > 2, the N-body bound states can have both positive and negative momentum. For eta > 0, bound states with positive momentum have positive binding energy, while states with negative momentum have negative binding energy.

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