关于由规范势构成的不可积相位因子的注

Notes on non-integrable phase-factor to be formed of the gauge potential

说明了由规范势构成的不可积相位因子中有一部分是几何相位因子 .指出其产生的根本原因是存在力场或是在闭合路径内存在奇性的场源 .有场才有势 ,到处无场就无势 ,场是根本的 ,势是由场派生的 .因此不可积相位因子最完整地描述了与规范场有关的物理现象 .

It is exposited and pointed out that one part of non-integrable phase-factor which is formed of gauge potential is a geometric phase,and that the essential reason of its occurrence is the existence of force field. When there is the external field, there will be the potential. When in any given place wherethere is no external field, there will never be the potential. The field is essential, but the potential is derived from the field. The physical phenomena concerning with the gauge field are most completely and exactly described by non-integrable phase factor.