A-B效应的量子论分析  

The quantum analysis theory of the A-B effect

作　　者：蒋练军[1] 金辉霞[1] 

机构地区：[1]湖南城市学院物理与电子信息工程系,湖南益阳413049

出　　处：《宝鸡文理学院学报（自然科学版）》2006年第3期220-221,共2页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：目的定量分析并解释A-B效应,既势A具有可观测的物理效应。方法利用费曼的路径积分理论并结合量子理论中动量表象的几率幅对磁矢势A引起的电子几率波相移进行定量分析。结果尽管电子运动的区域没有任何作用力施加在电子上,却有一额外的相因子附加在电子几率波上,并通过量子干涉显现为干涉条纹的移动,而通过零级极大条纹所移动到的位置,可测量出通电螺线管中的磁通。结论A-B效应不能用局域场B来描述,能够完全恰当的描述磁场的物理量是相因子。Aim To quantitatively analyze and explain the A-B effect, and potential A has the physical effect which may been observed. Methods Feynman＇s path integral and quantum theory are used to analyze quantitatively phase shift of electron probability wave resulting from the magnetic vector-potential A and then the A-B effect is explained. Results Although the electronic movement goes to region without any action to exert on the electronic, some extra factor attaches actually in the electronic probability wave,and appears the interference fringe movement through the quantum interference, but moves to position through the zero order enormous stripe, may measure in the circular solenoid magnetic φ. Conclusion The local field effect B is not used to describe A-B effect,but phase factor is that can completely appropriate description magnetic field physical quantity.

关 键 词：路径积分 动量表象 A—B效应 相移 

分 类 号：O413.1[理学—理论物理]