Solutions to the Dirac Equation for Manning-Rosen Plus Shifted Deng-Fan Potential and Coulomb-Like Tensor Interaction Using Nikiforov-Uvarov Method

Abstract

We solve the Dirac equation for the Manning-Rosen plus shifted Deng-Fan potential including a Coulomb-like tensor potential with arbitrary spin–orbit coupling quantum number κ. In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov–Uvarov method. Also Special cases of the potential as been considered and their energy eigen values as well as their corresponding eigen functions are obtained for both relativistic and non-relativistic scope.

Diatomic Molecules and Mass Spectrum of Heavy Quarkonium System with Kratzer- Screened Coulomb Potential (KSCP) through the Solutions of the Schrödinger Equation

“…3. Setting 30) we obtain the energy eigenvalues for SCP in the form: We compute the energy eigenvalues of some selected diatomic molecules from the special case1 of (32), and the general case of (30). Keeping this in mind, we apply the result to obtain the energy eigenvalues spectra of four diatomic molecules such as N2, CO, NO, and CH, noting that…”

“…where m is quarkonium mass, and nl E is energy eigenvalues. By substituting (30) into ( 36) we obtain the mass spectra for KSCP as:…”

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

“…The interactions of quantum systems with the spherically symmetric potentials have been studied by researchers since the discovery of quantum mechanics [1][2][3]. From the early days of quantum mechanics, the study of exactly solvable problems has attracted a considerable attention in many areas of physics, particularly in atomic physics, information theory, nuclear physics, particle physics, molecular physics and its importance cannot be overemphasized [4,5]. The exact solution of the relativistic and non-relativistic equations for most of these types of potentials is not attainable and approximations become indispensable [6].…”

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

“…From the early days of quantum mechanics, the study of exactly solvable problems has attracted considerable attention in many branches of physics. In particular, the applications of quantum mechanics to nuclear physics, information theory, molecular physics, and particle physics need not be overemphasized [4,5].…”