Abstract
The Aharonov-Casher effect in a closed system is discussed. In this model, the charge on the wire is produced by a conducting bar moving in a magnetic field. If one considers the neutron to be a classical particle and the moving bar to be a quantum object, then the wave function of the bar acquires a phase shift equal in magnitude but opposite in sign to the usual phase shift of the neutron wave function. It is also shown that in any closed system, a path-dependent phase shift of one part of the system is always accompanied by an opposite phase shift of the remainder of the system. This result follows directly from the principle of least action.
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Yu, X., Henneberger, W.C. Path-dependent phase shifts in isolated systems. Int J Theor Phys 35, 333–340 (1996). https://doi.org/10.1007/BF02083819
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DOI: https://doi.org/10.1007/BF02083819