Approximate Analytical Solutions of the Schrödinger Equation with Hulthén Potential in the Global Monopole Spacetime

Abstract

In this paper, we studied the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We also considered that the electron is influenced by the Hulthén potential. In particular, we dealt with the Schrödinger equation in the presence of a global monopole. We obtained approximate solutions for the problem, determined the scattering phase shift and the S-matrix, and analyzed bound states.

Confined Klein–Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance

“…(24). Consequently, the KG-oscillators in a QPGM spacetime and under the influence of a WYMM are obtained so that the KG-equation (25), with S (r) = 0, now reads…”

“…It has been shown by de Mello and Furtado [26] that a self-interaction on a charged particle placed in a PGM spacetime is given by S (r) = K (α) /r, where K (α) is a positive constant and r is the distance to the PGM. For the sake of simplicity of notations, let us consider that the Lorentz scalar potential S (r) = K/r and F r (r) = 0 in (25) to obtain, in a straightforward manner, that…”

“…KG particles with a dyon, magnetic flux and scalar potential [11], bosons in Aharonov-Bohm flux field and a Coulomb potential [23], Schrödinger particles in a Kratzer potential [24], Schrödinger particles in a Hulthėn potential [25] ,…”

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O 2, NO, LiH, HCl

“…The time-dependent Schrödinger wave equation with spatial dependent potential U(r) is described by the wave equation [38][39][40][41][42][43]…”

“…The investigation of this point-like global monopole in the context of non-relativistic quantum systems has been explored in only a few studies. For instance, it has been examined in scenarios such as the harmonic oscillator problem [38], interactions with Cornell-type potentials [39], quantum particles interacting with the Kratzer potential [40], generalized Morse potential [41], Hulthen potential [42], with a class of Kratzertype potentials [43], and some other investigations with different potential models including quantum flux fields in [44][45][46][47][48]. The spatial part of a static and spherically symmetric space-time describing a point-like global monopole in spherical coordinates (t, r, θ, f) [38][39][40][41][42][43][44][45][46][47][48] is as follows…”