Observation of matter wave interference on the macro-scale for charged particles in a magnetic field and the manifestation of Landau levels

Abstract

Matter wave interference effects in the macrodomain for charged particles in a magnetic field are reported for different scatterer positions between the electron gun and collector plate. The results obtained serve to validate and establish the important premises of the formalism that it is the scattering, (inter alia off the grid wires in this case) which generates the transition amplitude waves resulting in the novel quantum effects observed on the macro-scale associated with the transition amplitude wave. The variation of the position of origin of the grid-generated transition amplitude wave then leads to the variation of interference characteristics accordingly in the plate and grid currents. A Fourier decomposition of the interference peaks reveal also the presence of harmonics which are a manifestation of the Landau level structure. A rich class of quantum phenomena are thus discovered in the simple dynamical system of charged particles in a magnetic field in the ostensibly classical domain of operation, with the transition amplitude wave generated as a consequence of scattering being the new element of quantum description on the macro-scale.