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Amore, Paolo; Fernández, Francisco M.
Physica. B, Condensed matter, 01/2023, Letnik: 649Journal Article
We analyze a recently proposed model for the interaction of an electron with a nonuniform electric field under the influence of a cut-off point induced by the topology of a spiral dislocation (Maia and Bakke, 2021). We show that the analytical eigenvalues derived by the authors are qualitatively and quantitatively incorrect. Besides, the infinite degeneracy of the energy levels and the limit on the possible values of the radial quantum number predicted by the authors are mere artifacts of the approximation used to solve the differential equation. •Electron in a nonuniform electric field with Dirichlet boundary condition produced by a spiral dislocation.•The radial eigenvalue equation can be solved numerically.•The analytical eigenvalues derived previously by other authors are qualitatively and quantitatively incorrect.•The predicted limit on the radial quantum number is an artifact of the approximation used.•The infinite degeneracy of the energy levels is also an artifact of the approximation just mentioned.
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