带电双凝聚玻色-爱因斯坦系统磁单极子的分岔理论
The Bifurcation Theory of Magnetic Monopoles in a Charged Two-Condensate Bose-Einstein System
摘要：
磁单极子广泛存在于各种三维凝聚体系统中，是一种可以与拓扑荷相关联的类粒子场结构。本文利用\emph{Duan}的拓扑流理论，得到了带电双凝聚体玻色-爱因斯坦系统中磁单极子的电荷密度及其分岔理论。从三维矢量场的拓扑性质出发，研究了磁单极子的演化。磁单极子在极限点处产生或湮灭，在分岔点处相遇、分裂或合并。
英文摘要：
Magnetic monopoles, that are particle-like field configurations with which one can associate a topological charge, widely exist in various three dimensional condensate systems. In this paper, by making use of \emph{Duan}'s topological current theory, we obtain the charge density of magnetic monopoles and their bifurcation theory in a charged two condensate Bose-Einstein system. The evolution of magnetic monopoles is studied from the topological properties of a three-dimensional vector field. The magnetic monopoles are found generating or annihilating at the limit points and encountering, splitting, or merging at the bifurcation points.
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