陈数与物理中拓扑激发的量子数

Chern Numbers and The Quantum Numbers of Topological Excitations in Physics

拓扑中的示性数第一陈数恰对应于量子力学中磁通涡旋线的拓扑荷的总和,而第二陈数恰对应于量子场论中四维时空瞬子(Instanton)的拓扑荷的总和.

It is pointed out in this paper that the first Chern numbers in topology correspond to the total sum of all the topological charges of the magnetic vortex lines in quantum mechanics, while the second Chem numbers correspond to the total sum of all the topological charges of the instantons in four-dimensional space-time in quantum field theory.