标题： 非线性薛定谔方程孤子的强相位关联 显示英文标题

标题： Strong Phase Correlations of Solitons of Nonlinear Schrödinger Equation

摘要： 我们讨论了利用强相位关联的规范理论来抑制非线性2+1维薛定谔方程中波函数塌缩的可能性。结果表明，相对具有变形参数$q$（它是四次单位根）的$q$变形霍普夫代数的不变性使得Chern-Simons项系数$k=2$和耦合常数$g=1/2$的值被固定；在这些值下不存在导致塌缩的解。 显示英文摘要

摘要： We discuss the possibility to suppress the collapse in the nonlinear 2+1 D Schr\"odinger equation by using the gauge theory of strong phase correlations. It is shown that invariance relative to $q$-deformed Hopf algebra with deformation parameter $q$ being the fourth root of unity makes the values of the Chern-Simons term coefficient, $k=2$, and of the coupling constant, $g=1/2$, fixed; no collapsing solutions are present at those values.