Search

In this paper, we study the quantum motions of the non-relativistic particles under the influence of the flux field in the background of a point-like global monopole with Kratzer plus generalised Yukawa potential. The solutions of the quantum system under consideration are obtained using the parametric Nikiforov–Uvarov method by employing the Greene–Aldrich approximation scheme in the centrifugal and reciprocal terms that appear in the radial equation. Afterwards, we use another approximation called the Taylor series expansion up to the first order in the exponential terms and solve the radial equation analytically using the confluent hypergeometric function. It is shown that the topological defect of a point-like global monopole influences the eigenvalue solutions of the non-relativistic particles and gets modified by this defect compared to the flat space result with this superposed potential. We also show that the energy eigenvalue of the particles depends on the quantum flux field and thus gets shifted. Finally, we compare the eigenvalue solutions obtain for these two approximations scheme used here and show graphically that the results are different in these schemes. [ABSTRACT FROM AUTHOR]

In this analysis, we investigate the quantum motions of a non-relativistic particle confined by the Aharonov–Bohm flux field with Hellmann potential (Coulomb plus Yukawa potential) in a topological defect space-time produced by a point-like defect. We employ a suitable approximation scheme in the centrifugal and reciprocal terms that appear in the radial equation and determine the eigenvalue solution using the parametric Nikiforov–Uvarov method. Afterwards, we study the quantum system with an attractive Coulomb potential and obtained the eigenvalue solution using the same NU-method. These eigenvalue solutions are analysed and see the effects of topological defects produced by a point-like defect and the AB-flux field with these potentials. We also see that in addition to the topological effects, the energy levels shift more by the magnetic flux field, which gives us an analogue of the Aharonov–Bohm effect for the bound state. Finally, we plot a few graphs of the energy levels and the radial wave function with different parameters, such as the topological defect, the magnetic flux field, and the screening parameter, and discuss the results. [ABSTRACT FROM AUTHOR]

In this paper, we determine the approximate eigenvalue bound state solution of the radial Schrodinger equation in three-dimension in the presence of the Aharonov-Bohm flux field with two-term diatomic molecular potential in point-like global monopole (PGM) defect. We analyse the effects of factors, such as topological defects, background curvature associated with topological defects as well as the potential. We also show that the energy levels shift due to the presence of the magnetic flux which gives us an analogue of the Aharonov-Bohm effect for the bound state. Finally, we apply the quantum system for some known potential models, such as q-deformed Hulthen-type potential and Manning-Rosen potential, and discussed the effects of various factors on the eigenvalue solutions. [ABSTRACT FROM AUTHOR]