Framework Of Nikiforov-Uvarov Method Research Articles

Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model

Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.

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

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.

Hellmann Potential in Spinless Salpeter Equation with Potential Barrier within the Framework of Nikiforov-Uvarov method

<p>In this paper, we have solved the spinless Salpeter equation (SSE) with Hellmann potential under the framework of NIkiforov-Uvarov (NU) method. The energy eigenvalues and corresponding wave functions for this system express in terms of the Jacobi polynomial are also obtained. With the help of approximation scheme the potential barrier has been evaluated. The results obtained in this work would have many applications in nuclear physics, chemical physics, atomic and molecular physics, molecular chemistry and other related areas as the results under limiting cases could be used to study the binding energy and interaction of some diatomic molecules. As a guide to interested readers, we have provided numerical data which discuss the energy spectra for this system.</p><p> </p>

Relativistic Spin and Pseudospin Symmetries of Inversely Quadratic Yukawa-like plus Mobius Square Potentials Including a Coulomb-like Tensor Interaction

The Dirac equation for the combined Mobius square and inversely quadratic Yukawa potentials including a Coulomb-like interaction term has been investigated in the presence of spin and pseudospin symmetries with arbitrary spin-orbit quantum number κ .We have obtained the explicit energy eigenvalues and the corresponding eigenfunctions by the framework of Nikiforov-Uvarov method.