QHE中的边缘孤子
Edge solitons in the QHE
摘要：
对Chern-Simons拉格朗日量进行类空约化，得到一个修正的非线性薛定谔方程（jNLS），其中非线性项中粒子密度用电流代替。当相位是线性的位置，后者是一个普通的NLS与时间相关的系数，承认有趣的解决方案，其解释的非相对论性时空的共形性质。然而，只有通常的旅行孤子是一致的jNLS。添加六阶势将jnLS转换为可积方程。
英文摘要：
The spacelike reduction of the Chern-Simons Lagrangian yields a modified Nonlinear Schrödinger Equation (jNLS) where in the non-linearity the particle density is replaced by current. When the phase is linear in the position, this latter is an ordinary NLS with time-dependent coefficients which admits interesting solutions, whose arisal is explained by the conformal properties of non-relativistic spacetime. However, only the usual travelling soliton is consistent with the jNLS. Adding a six-order potential converts jnLS into an integrable equation.
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