Topological defects with generalized Hulthen–Coulomb-inverse quadratic Yukawa potential on eigenvalue solution under Aharonov–Bohm flux field

Abstract

In this work, we solve the radial Schrödinger wave equation in three dimensions under Aharonov–Bohm (AB)-flux field with potential superposition of generalized q-deformed Hulthen potential, Coulomb potential, and inverse quadratic Yukawa potential in a point-like defect. We determine the approximate eigenvalue solution using the parametric Nikiforov–Uvarov (NU) method and analyze the effects of topological defect and the magnetic flux field with this superposed potential. We show an analogous of the AB effect because the eigenvalue solution depends on the geometric quantum phase and bound state solutions are possible under condition. Finally, we utilize the approximate eigenvalue solution to some molecular potential models, such as Deng–Fan potential and inverse quadratic Hulthen potential and analyze the effects on the energy levels and the radial wave functions.

Topological effects produced by point-like global monopole with Hulthen plus screened Kratzer potential on Eigenvalue solutions and NU-method

“…The time-dependent Schrödinger wave equation with potential V(r) and electromagnetic potential  A is described by the following wave equation [9][10][11][12][13][14][15][16][17] [7, 11, 15-17, 28, 29], i = 1, 2, 3 and e is the electric charges. For the space-time geometry (1) under consideration, its (spatial part) determinant is given by = = q a g g ij r sin…”

“…However, the non-relativistic Schrodinger wave equation with some potential models in the background of a point-like global monopole spacetime has been investigated in a few works. These works include a harmonic oscillator [9], a harmonic oscillator with potential (linear, Coulomb and Cornell-type) [10], a harmonic oscillator with Mie-type potential under the AB-flux field [11], scattering of charged particles by an Abelian magnetic monopole [12], non-relativistic particles interact with potential, such as Kratzer and Morse potential [13], generalized Morse potential [14], a diatomic molecular potential [15], pseudoharmonic-and Mie-type potentials [16], and generalized q-deformed Hulthen plus Coulomb and inverse quadratic Yukawa potential [17].…”

“…2 [7][8][9][10][11][12][13][14][15][16][17] where, the spatial metric is given by The exact or approximate eigenvalue solutions of second-order differential equations with various potential models of physical interest have been investigated by many authors (see, [18][19][20][21][22][23][24][25][26][27]) that have great importance in different branches of physics and chemistry. Note that all the investigations in the literature have been done in the flat space or Minkowski space-time background.…”

“…The eigenvalue solutions of the Schrödinger equation with potential models in 2D and 3D have been obtained using several methods or techniques in the literature. Among them, the parametric Nikiforov-Uvarov (NU) method [30] we are interested in has renewed interest in solving the quantum mechanical problems (see, [15,17,[31][32][33][34][35][36][37]).…”

“…For V 1 → 0 and δ → 0, we have theMie-type potential [11,16,50] from which one can recover Kratzer or modified Kratzer potential. So far author's knowledge, there are only a few works known that the non-relativistic Schrodinger wave equation has been solved using different potential models in the literature [9][10][11][12][13][14][15][16][17]. In this work, we study the non-relativistic Schrödinger equation under the AB-flux field with potential of superposition of Hulthen potential and screened Kratzer potential in the background of a point-like global monopole.…”