Arbitrary l-Solutions of the Schrodinger Equation in Arbitrary Dimensions for the Energy Dependent Generalized Inverse Quadratic Yukawa Potential

Abstract

Within the framework of Nikiforov-Uvarov method, we obtained an approximate solution of the Schrodinger equation for the Energy Dependent Generalized inverse quadratic Yukawa potential model. The bound state energy eigenvalues for were computed for various vibrational and rotational quantum numbers. Special cases were considered when the potential parameters were altered, resulting into Energy Dependent Kratzer and Kratzer potential, Energy Dependent Kratzer fues and Kratzer fues potential, Energy Dependent Inverse quadratic Yukawa and Inverse quadratic Yukawa Potential, Energy Dependent Yukawa (screened Coulomb) and Yukawa (screened Coulomb) potential, and Energy Dependent Coulomb and Coulomb potential, respectively. Their energy eigenvalues expressions and numerical computations agreed with the already existing literatures.

Effects of Magnetic Monopole and Quantum Flux Field on Eigen Value Spectrum Embedded with Yukawa Potential Including Central Potential

“…In Table 1, we have reported the intervals of Φ for which bound states exist and we have limited our exploration in the range Φ ∈ [0.001, 2]. The values of the term (1 − 4ξ) in the energy expression (30), where ξ = − l ′ (l ′ +1) α 2 , become negative at those value of Φ which are not mentioned in the table. But for flat space i.e.…”

“…Onate and Ojonubah executed an approximate solution of the Schrödinger equation under the framework of supersymmetric approach with an interaction of inversely quadratic Yukawa potential, Yukawa potential and Coulomb potential which are generally considered as a class of Yukawa potentials [27]. Besides these, there are so many research works, have been done with inverse quadratic potential as well as with Yukawa potential in atomic and molecular physics [22,[28][29][30] (and further references therein). On the other hand, studies of nonrelativistic quantum systems under external magnetic and AB flux fields have received a great attention during the last few decades [21,23,31,32].…”

Path integral treatment of a Klein Gordon particle with generalized inverse Quadratic Yukawa potential

“…They solved it in the non-relativistic framework using NU method. Therefore Ushie et al [14] presented a non-relativistic treatment of an Energy Dependent form of GIQY potential in Arbitrary Dimensions with NU method. The non-relativistic treatment of this potential was also carried out by means of path integral approach by Aid et al [8].…”