Chern-Simons Solitons in Quantum Potential

Abstract

The self-dual Chern-Simons solitons under the influence of the quantum potential are considered. The single-valuedness condition for an arbitrary integer number $N\ge 0$ of solitons leads to quantization of Chern-Simons coupling constant $\kappa =m\frac{e^2}{g}$, and the integer strength of quantum potential $s=1-m^2$. As we show, the Jackiw-Pi model corresponds to the first member (m = 1) of our hierarchy of the Chern-Simons gauged nonlinear Schrödinger models, admitting self-dual solitons. New type of exponentially localized Chern-Simons solitons for the Bloch electrons near the hyperbolic energy band boundary are found.

Tex, 12 pages, 3 figures

References in corpus (6)

• Resonance NLS Solitons as Black Holes in Madelung Fluid
• Nonlinear Realization of a Dynamical Poincare Symmetry by a Field-dependent Diffeomorphism
• Gauge Transformations in Quantum Mechanics and the Unification of Nonlinear Schrödinger Equations
• Fluid Dynamical Profiles and Constants of Motion from d-Branes
• Integrable dissipative structures in the gauge theory of gravity
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Cited by in corpus (1)

• Resonance NLS Solitons as Black Holes in Madelung Fluid