title: Aharonov-Casher and scalar Aharonov-Bohm topological effects.
abstract: We reexamine the topological and nonlocal natures of the Aharonov-Casher and scalar Aharonov-Bohm phase effects. The underlying U(1) gauge structure is exhibited explicitly. And the conditions for developing topological Aharonov-Casher and scalar Aharonov-Bohm phases are clarified. We analyze the arguments of M. Peshkin and H. J. Lipkin [Phys. Rev. Lett. 74, 2847 (1995)] in detail and show that they are based on the wrong Hamiltonian which yields their conclusion incorrect.
authors.affiliation: School of Physics Science and Technology, Xinjiang University, Urumqi, People's Republic of China. dulat98@yahoo.com
authors.forename: Sayipjamal
authors.initials: S
authors.lastname: Dulat
authors.forename: Kai
authors.initials: K
authors.lastname: Ma