An exact analytical and approximate solution of the relativistic and non-relativistic wave equations for central potentials has attracted enormous interest in recent years. By using the basic Nikiforov-Uvarov quantum mechanical concepts and formalism, the energy eigenvalue equations and the corresponding wave functions of the Klein–Gordon and Schrodinger equations with the interaction of Modified Hylleraas-Hulthen Potentials (MHHP) were obtained using the conventional Pekeris-type approximation scheme to the orbital centrifugal term. The corresponding unnormalized eigen functions are evaluated in terms of Jacobi polynomials.
The solutions of the Schrödinger with more general exponential screened coulomb (MGESC), Yukawa potential (YP) and the sum of the mixed potential (MGESCY) have been presented using the Parametric Nikiforov-Uvarov Method (pNUM). The bound state energy eigenvalues and the corresponding un-normalized eigenfunctions expressed in terms of hypergeometric functions were obtained. Some derived equations were used to calculate numerical values for MGESC, YP, and MGESCY potentials for diatomic molecules with different screening parameters (α) for l = 0 and l = 1 state with V 0 = 2.75 MeV and V 1 = 2.075 MeV. We observed an increase in l value; the particles behave more repulsive than attractive. The numerical values for different l-states at different screening parameters for CO molecules (r = 1.21282) and NO molecule (r = 1.1508) were obtained using the bound state energy eigenvalue of the Schrodinger equation for MGESC, YP and MGESCY potentials. Potential variation with intermolecular distance (r) for some of the particles moving under the influence of MGESC, Yukawa and the mixed potential (MGESCY) were also studied. We also observed the variation of the MGESC potential
The solutions of the klein-gordon equation with Manning-Rosen plus Yukawa potential (MRYP) has been presented using the Pekeris-like approximation of the coulomb term and parametric Nikiforov-Uvarov (NU) method. The bound state energy eigenvalues and the corresponding un-normalized eigen functions were obtained in terms of Jacobi polynomials. So also, Yukawa, Manning-Rosen
We solve the Dirac equation for the Manning-Rosen plus Eckart 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 have been considered and their energy eigen values as well as their corresponding eigen functions have been obtained for both relativistic and non-relativistic scopes.
The present study was designed to investigate the free radical scavenging activity and phytochemical composition of ethylacetate fraction (EtyAc) of stem bark of Lannea acida. The free radical scavenging activity was tested using 2,2-diphenyl-1-picrylhydrazyl (DPPH) and by determination of total phenolic composition. Preliminary phytochemical screening was carried out using standard methods. The EtyAc fraction demonstrated significant scavenging activity, contained appreciable amounts of total phenolics and a number of secondary plant metabolites including, flavonoids, alkaloids, tannins and saponins. The study revealed that EtyAc fraction of stem bark of Lannea acida possesses significant antioxidant activity.
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