Observability of the effects of curl-free magnetic vector potential on the macroscale and the nature of the a€?transition amplitude wavea€?

摘要

We discuss here the prediction, based on a formalism by the author, on the observable effects of a curl-free magnetic vector potential on the macroscale as against the microscale of the Aharonova€“Bohm effect. A new quantum concept a€“ the a€?transition amplitude wavea€? a€“ postulated in the formalism has already been shown to exhibit matter wave manifestations in the form of one-dimensional interference effects on the macroscale. It was predicted by the formalism that the same entity would lead to the detection of a curl-free magnetic vector potential on the macroscale. We describe here the manner of generation of this quantum entity in an inelastic scattering episode and work out an algorithm to observe this radically new phenomenon, the detection of a curl-free magnetic vector potential on the macroscale. We determine the various characteristic features of such an observation which can then be looked for experimentally so as to verify the predicted effect, establishing thereby the physical reality of the new quantum entity, and to fully validate the formalism predicting it. It is also shown that this a€?transition amplitude wavea€? can be regarded as a novel kind of a€?quasiparticlea€? excited in the charged particle trajectory as a consequence of the scattering episode.