入射粒子、规范场和几何位相

证明了只要粒子在规范场中运动的方程具有定域规范不变性 ,则其波函数就是相应的无势方程的波函数和规范势沿粒子运动闭合路径不可积位相因子之乘积 .在场强为零、势不为零的复连通区域中 ,上述不可积位相为几何位相 ,由此推得 :①重力势或惯性力势沿相干中性原子运动闭合路径的不可积积分 ;②胶子势沿夸克运动闭合路径的不可积积分 ;③中间玻色子势沿轻子左 (右 )手场运动闭合路径的不可积积分 ,在上述复连通区域都各将贡献一几何位相

Incident particle, gauge field and geometric phase

It was proved that if only the motion\|equation of particle in gauge field is of local gauge\|invariance, its wave function will be the product of the wave function of particle for correspondent motion\|equation of non\|potential and non\|integrable phase\|factor of gauge potential along closed path of motional particle, and in the region of complex\|connection of which the field is zero and the potential is nonzero above non\|integrable phase ,for example, the integral of the gravitational or inertial potential along closed path of motion of neutral atom, the integral of the glueon potential along closed path of motion of the quark and the integral of the intermediate boson potential along closed path of motion of left (or right) handed field of lepton will contribute to a geometric phase respectively.