| dc.description.abstract | The doctoral thesis “ Superintegrability of Differential Equations of Physics” is integrated
by the investigations reported in published [1-5] and submitted [6] articles, and in
contributions to specialized meetings [7, 8, 9]. The solutions for a new ring potential [1]
and the radial Pöschl-Teller II [2] constructed by the Nikiforov-Uvarov method are
presented in Chapter 2. The capture of an electron by a polar molecule, which has been
studied in spherical and prolate spheroidal coordinates. Is the subject of Chapter 3, with
emphasis on the comment [3] on Alhaidari and Bahlouli´s letter [10]. Chapter 4 presents
successively the displacement operators for the particle in circular [4] and spherical [5]
wells, as natural extensions to those of a one-dimensional box [11]. The recently completed
work on the hydrogen atom confined by a dihedral angle [6] constitutes Chapter 5,
illustrating the symmetry breaking effect by confinement on the rotational symmetry
breaking effect by the confinement on the rotational symmetry around the z-axis of the
superintegrable system, as well as the surviving symmetries. Chapter 6 contains a general
discussion and specific conclusions on the investigated systems. | |
