Some first excited energy levels for the generalized Killingbeck potential with the differential quadratic method

Solutions of the D -dimensional Schrödinger equation with Killingbeck potential: Lie algebraic approach

“…which plays an important role in many branches of physics including particle physics, [29,30] quantum field theory, [31] molecular, [32][33][34] and solid state physics. [35,36] Until now, a variety of techniques including the supersymmetric quantum mechanics, [37] the moment method, [22] the shifted 1/N expansion, [15,16] the Hill determinant, [17,18] the differential quadratic, [38] and the asymptotic iteration techniques [39] have been used to deal with the potential. On the other hand, considerable efforts have been made to study the D-dimensional quantum mechanical systems with spherically symmetric potentials.…”

Influence of External Fields on the Killingbeck Potential: Quasi Exact Solution

“…29,30 Boumedjane et al investigated the lowest energy states and the corresponding wave functions for the generalized Killingbeck potential within the context of the recently introduced differential quadratic method. 31 Aygun et al presented an alternative approach, the asymptotic iteration method, to solve the two-dimensional (2D) radial Schrödinger equation for the Killingbeck potential in a magnetic field. 32 Recently, Hamzavi et al have studied the Dirac equation for the Killingbeck potential to obtain the energy eigenvalues and the corresponding wave functions in the presence of spin and pseudo-spin symmetries by using wave function Ansatz method.…”

“…units as = 2μ = 1. [29][30][31] In Fig. 1, we plotted the variations of eigenenergy as a function of applied strong magnetic fields for different values of 3 AB flux fieldsξ.…”

Pseudospin Symmetry in the Relativistic Killingbeck Potential: Quasi-Exact Solution

“…It consists of harmonic oscillator plus Cornell potential, i.e., 2 ar br c r   , which finds applications in particle physics [30,31]. Boumedjane et al investigated the lowest energy states and the corresponding wave functions for the generalized Killingbeck potential within the context of the recently introduced differential quadratic method [32]. Recently, Hamzavi and Rajabi have studied the Dirac equation for the Killingbeck potential under the spin symmetric limit to obtain the energy eigenvalues and the corresponding wave functions by using wave function ansatz method [33].…”

“…The bound state energy eigenvalues under p-spin symmetry case for Killingbeck potential when 1 c [32].…”