Comment on Maia, A.V.D.M.; Bakke, K. Topological Effects of a Spiral Dislocation on Quantum Revivals. Universe 2022, 8, 168

Abstract

In a series of papers, Maia and Bakke [1–4] studied several quantum-mechanical models in which a particle moves in an elastic medium with a spiral dislocation. They considered a variety of interactions: a harmonic potential [1,4] a nonuniform radial electric field [2], a uniform axial magnetic field [2], and the effect of rotation [3]. Maia and Bakke also took into account the effect of a hard wall in the radial part of the Schrödinger equation [1,2]. The Schrödinger equation for all those models is separable in cylindrical coordinates, and they arrived at somewhat similar eigenvalue equations in most of those papers that can be solved in terms of a confluent hypergeometric function. In order to obtain exact analytical eigenvalues, Maia and Bakke [1–3] resorted to some approximations, but they did not discuss their effect on the accuracy of the results. Maia and Bakke commonly set h¯ = 1 and c = 1 [1,2,4] (in some cases they did not even mention this fact [3]), and as a result their analytical expressions exhibit an obvious inconsistence in their units as discussed elsewhere [5]...