超流液氦^3He系统四种新相的边界问题

The Boundary Problem of Four New Phases of the Superfluid 3~He System

本文讨论了作者提出的四种新相(C,D,E和F相)的边界问题,文中利用同伦群正合序列的标准代数拓扑方法,研究了有限长柱面边界条件对于超流~8He系统的四种新相的拓扑结构的影响,给出了相应表面缺陷的拓扑量子数.文中,提出周期性边界条件的假设,使问题的讨论更简明、更严格.

The boundary problem of four new phases (C, D, E, F) of the super-fluid He system -predicted by the author is discussed. The principal theoretical method, algebraic topology, the exact sequence of homotopy group in particular, has been used. The pure surface singularities (the point defect or line defect) are labelled by the element of the relative homotopy group n2(V,A) or n1(V,A).The effect of the boundary condition of a finite cylindrical surface on the topological structure of the four new phases of the superfluid has been studied with the assumption about the periodic boundary condition. The topological quantum number of the pure surface singularities given.