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Manipulating energy levels while controlling the electron localization is anessential step for many applications of confined systems. In this paper wedemonstrate how to achieve electron localization and induce energy leveloscillation in one-dimensional quantum systems by externally controlling thedeformation of the system. From a practical point of view, the one-dimensionalpotentials can be realized using layered structures. In the analysis, weconsidered three different examples. The first one is a graded quantum wellbetween confining infinite walls where the deformation is modeled by varyingslightly the graded well. The second systems is a symmetric multiple quantumwell between infinite walls under the effect of biasing voltage. The thirdsystem is a layered 2D hybrid perovskites where pressure is used to inducedeformation. The calculations are conducted both numerically and analyticallyusing the perturbation theory. It is shown that the obtained oscillations areassociated with level avoided crossings and that the deformation results inchanging the spatial localization of the electrons.

Electron Localization and Energy Levels' Oscillations Induced by Controlled Deformation