Peculiarities of Interaction of a Plane Wave with a Potential under Conditions of Mobility of Its Boundaries

Abstract: For the problems of creating table-top accelerators of charged particles and ion traps of various modifications, quantum-mechanical aspects of interaction of a particle with a potential having moving boundaries are investigated. The case of a constant expansion rate of the regions of positive and negative potentials is considered. Using a one-dimensional system as an example, it is shown that the behavior of the de Broglie wave of a particle interacting with the potential depends on the ratio of the potential value and the expansion rate of its boundaries. The results of calculations in MATLAB are presented. © Pleiades Publishing, Ltd. 2025.