Pseudospin Symmetry of the Position-Dependent Mass Dirac Equation for the Hulthén Potential and Yukawa Tensor Interaction

This paper presents approximate analytical solutions of the Dirac equation for the Hulthén potential with position-dependent mass within the framework of pseudospin symmetry limit using the Nikiforov-Uvarov method. The results showed the relativistic energy spectrum and the corresponding un-normalized wave function expressed in terms of the Jacobi polynomials.Received: 30 September 2014; Revised: 29 December 2014: 31 December 201

Any [�states solutions of the Schr€ odinger equation interacting with Hellmann-generalized Morse potential model

The approximate analytical solutions of the radial Schrӧdinger equation have been obtained with a newly proposed potential called Hellmann-generalized Morse potential. The potential is a superposition of Hellmann potential and generalized Morse or Deng-Fan potential. The Hellmann-generalized Morse potential actually comprises of three different potentials which includes Yukawa potential, Coulomb potential and Deng-Fan potential. The aim of combining these potentials is to have a wide application. The energy eigenvalue and the corresponding wave function are calculated in a closed and compact form using the parametric Nikiforov-Uvarov method. The energy equation for some potentials such as Deng-Fan, Rosen Morse, Morse, Hellmann, Yukawa and Coulomb potentials have also been obtained by varying some potential parameters. Some numerical results have been computed. We have plotted the behavior of the energy eigenvalues with different potential parameters and also reported on the numerical result. Finally, we computed the variance and information energy for the Hellmann-generalized Morse potential

Dirac Equation with Unequal Scalar and Vector Potentials under Spin and Pseudospin Symmetry

An approximate solution of the Dirac equation in the D-dimensional space is obtained under spin and pseudospin symmetry limits for the scalar and vector inversely quadratic Yukawa potential within the framework of parametric Nikiforov-Uvarov method using a suitable approximation scheme to the spin-orbit centrifugal term. The two components spinor of the wave function and their energy equations are fully obtained. Some numerical results are obtained for the energy level with various dimensions (D), quantum number (n), vector potential V0 and scalar potential S0 . The results obtained under spin symmetry using either V0 or S0 are equal to the results obtained usingV S 0 0 . But under the pseudospin symmetry, the results obtained using V0 or S0 are not equal to the results obtained usingV S 0 0

Eigen Solutions, Shannon Entropy and Fisher Information under the Eckart Manning Rosen Potential Model

We solved the Schr¨ odinger equation with a certain approximation to the centrifugal term for an arbitrary angular momentum state with the Eckart Manning Rosen potential. The bound-state energy eigenvalues and the corresponding wave functions have been approximately obtained using the parametric Nikiforov Uvarov method. The solutions of the Schr¨ odinger equation for the Eckart potential, Manning Rosen potential, and Hulth´ en potential have been obtained using a certain transformation. The concepts of the Shannon entropy and the Fisher information of a system under the Eckart Manning Rosen potential are investigated in detail. The behavior of the screening parameter and the quantum number n for Fisher information and the Shannon entropyare also investigated

Determination of thermodynamic properties of CrH, NiC and CuLi diatomic molecules with the linear combination of Hulthen-type potential plus Yukawa potential

In this work, we investigate the thermodynamic properties of CrH, NiC and CuLi diatomic molecules with a linear combination Hulthen and Yukawa potentials in the presence and absence of magnetic and Aharanov-Bohm (AB) fields. The Schrodinger equation in 3D and 2D were solved using the Nikiforov-Uvarov (NU) method and the exact quantization rule (EQR) respectively. To determine the thermodynamic properties for the selected diatomic molecules, we first used the energy spectrum to evaluate the partition function and other thermodynamic functions such as entropy, Helmholtz free energy, internal energy and specific heat capacity. In addition, it is found that in the classical limit, the specific heat capacity saturates for large values of the principal quantum number, nmax for the selected diatomic molecules at a fixed temperature except CrH. Our results can be applied to molecular physics and chemical physics

Analytical solutions of the Dirac equation under Hellmann–Frost–Musulin potential

The approximate analytical solutions of the Dirac equation with Hellmann–Frost–Musulin potential have been studied by using the generalized parametric Nikiforov–Uvarov (NU) method for arbitrary spin–orbit quantum number k under the spin and pseudospin symmetries. The Hellmann–Frost–Musulin potential is a superposition potential that consists of Yukawa potential, Coulomb potential, and Frost–Musulin potential. As a particular case, we found the energy levels of the non-relativistic limit of the spin symmetry. The energy equation of Yukawa potential, Coulomb potential, Hellmann potential and Frost–Musulin potential are obtained. Energy values are generated for some diatomic molecules

Non-relativistic Quark Model under External Magnetic and Aharanov-Bohm (AB) Fields in the Presence of Temperature-Dependent Confined Cornell Potential

The dissociation of quarkonia in a thermal QCD medium in the background of an AB and strong magnetic fields is investigated. For this purpose, the Schrdinger equation with a charged quarkonium in the Cornell potential under the influence of AB flux and an external magnetic fields directed along the z-axis is employed. By using the Nikiforov-Uvarov (NU) method, the energy eigenvalue is obtained. The effect of temperature, AB flux, and an external magnetic field is studied. The study shows that the dissociation energy of 1S states of charmonium and bottomonium decreases with increasing temperature and AB flux, and external magnetic field. Also, the quarkonium melts faster in a hot medium in the presence of AB flux and external magnetic field. We found that the charmonium melts at 13.79 mThe accepted manuscript in pdf format is listed with the files at the bottom of this page. The presentation of the authors' names and (or) special characters in the title of the manuscript may differ slightly between what is listed on this page and what is listed in the pdf file of the accepted manuscript; that in the pdf file of the accepted manuscript is what was submitted by the author

Pseudospin Symmetry of the Position-Dependent Mass Dirac Equation for the Hulthén Potential and Yukawa Tensor Interaction

This paper presents approximate analytical solutions of the Dirac equation for the Hulthén potential with position-dependent mass within the framework of pseudospin symmetry limit using the Nikiforov-Uvarov method. The results showed the relativistic energy spectrum and the corresponding un-normalized wave function expressed in terms of the Jacobi polynomials

Eigensolutions Of The SchrӦdinger Equation And The Onicescu Information Energy With Similar Potentials

An approximate analytical solution of the non-relativistic Schrӧdinger equation for any arbitrary states is studied with a combination of inverse potential and inversely quadratic Yukawa potential using the supersymmetric approach as the powerful tool to obtain the energy eigenvalue and the corresponding wave function in the presence of a suitable approximation scheme.The Onicescu information energy is also calculated in a close and compact form. The effect of the potential strengths' on the Onicescu information energy is investigated in detail. It is observed that as the Onicescu information energy decreases, the quantum number n increases