Aharonov-Bohm Effect, Poincaré Lemma and Gauge Invariance

摘要：

　　In this paper we demonstrate the peculiarities of the Aharonov-Bohm effect using the theory of generalized functions.We show that the presence of the Aharonov-Bohm effect violates the Poincaré lemma(in other words the Poincaré lemma does not apply to the Aharonov-Bohm spatial geometry),moreover,such a violation is a necessary condition for the Aharonov-Bohm effect observation.The unexpected form of the Schr(o)dinger equation for the Aharonov-Bohm effect which contains a singularity in explicit form is also obtained.These results allow to take a fresh look on the Aharonov-Bohm problem.

作者: Peter A.Meleshenko Hang T.T.Nguyen Mikhail E.Semenov Alexander F.Klinskikh

作者单位: Zhukovsky-Gagarin Air Force Academy,Russia;Voronezh State University,Russia Institute of Technology,Vietnam National University-Ho Chi Minh City,Vietnam Zhukovsky-Gagarin Air Force Academy,Russia;Voronezh State University,Russia;Voronezh State Universit Voronezh State University,Russia

会议类型: 国际会议

会议名称: Progress in Electromagnetics Research Symposium 2014(2014年电磁学研究新进展学术研讨会)

会议地点: 广州

会议语种:英文

页码: 740-743

在线出版日期: 2014-08-01（万方平台首次上网日期，不代表论文的发表时间）