Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Chemical and Physical Sciences

Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Eckart Potential and Yukawa-Like Tensor Interaction

Hitler Louis, Benedict I. Ita, Pigweh Isa Amos, Ozioma Udochukwu Akakuru, Muyiwa Michael Orosun, Nelson A. Nzeata-Ibe, M. Philip

Published Feb 15, 2018• 2 citations
Publisher
DOI
10.30731/ijcps.7.1.2018.38-47

Related papers

Bound States of the Dirac Equation for Modified Mobius Square Potential Within the Yukawa-Like Tensor Interaction

A. N. Ikot, E. Maghsoodi, Eno J. Ibanga +2 more

Proceedings of the National Academy of Sciences India Section A Physical Sciences•Mar 24, 2016•4 citations

Solution of the Dirac Equation with Position-Dependent Mass for q-Parameter Modified Pöschl–Teller and Coulomb-like Tensor Potential

M. Eshghi, Hossein Mehraban

Few-Body Systems•Jun 10, 2011•50 citations

Approximate $\kappa$ -state solutions of the Dirac equation in spatially dependent mass for the Eckart potential including the Yukawa tensor interaction

Sameer M. Ikhdair

We investigate the analytical approximation to arbitrary -state solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential including the Yukawa tensor interaction in the framework of a parametric Nikiforov–Uvarov method. By taking a proper approximation to deal with the centrifugal term, the analytical relativistic energy eigenvalues and the corresponding normalized two-spinor components of the wave function are obtained in closed form. The relativistic and non-relativistic bound state solutions for some special cases, such as the Hulthén potential and the generalized Morse potential, are easily obtained from our general solution.

Physica Scripta•Nov 21, 2013•8 citations

7 The Dirac equation and electron spin

Maurizio Dapor

De Gruyter eBooks•Mar 7, 2022•0 citations

Analytical solution of the Shredinger equation for the linear combination of the Manning-Rosen and the class of Yukawa potential

G.A. Bayramova

In the present work, an analytical solution for bound states of the modified Schrödinger equation is found for the new supposed combined Manning-Rosen potential plus the Yukawa class. To overcome the difficulties arising in the case l ≠ 0 in the centrifugal part of the Manning-Rosen potential plus the Yukawa class for bound states, we applied the developed approximation. Analytical expressions for the energy eigenvalue and the corresponding radial wave functions for an arbitrary value l ≠ 0 of the orbital quantum number are obtained. And also obtained eigenfunctions expressed in terms of hypergeometric functions. It is shown that energy levels and eigenfunctions are very sensitive to the choice of potential parameters.

Izvestiya vysshikh uchebnykh zavedenii Fizika•Jan 1, 2021•0 citations

Relativistic symmetries of the deformed Dirac equation through the improved Hulthén plus a class of Yukawa potential including a Coulomb-like tensor interaction in deformation quantum mechanics

Abdelmadjid Maireche

We approximately solve the deformed Dirac equation for a new improved Hulth en plus a class of Yukawa potential including a Coulomb-like tensor interaction (IHCYPCTI for short) in the context of extended relativistic quantum mechanics ERQM symmetries including an improved Coulomb-like tensor interaction with an arbitrary spin-orbit coupling quantum number k.Within the framework of the spin and pseudospin (p-spin) symmetry, we obtain the global new energy eigenvalue which equals the energy eigenvalue in usual relativistic QM plus the corrected energy induced by three innitesimal additive parts of the Hamiltonian corresponding to the spin-orbit interaction, the new modied Zeeman and the rotational Fermi term by using the parametric of Bopp's shift method and standard perturbation theory with an approximation to the centrifugal term.The new values that we got appeared sensitive to the quantum numbers (j, k, l, l, s, s, m, m), the mixed potential depths (A, B), the range of the potential δ, and noncommutativity parameters (Θ, σ, χ).The mixed potential which in some particular cases gives solutions of dierent potentials: the improved Hulth en, the improved Yukawa potential and the improved Coulomb-like problem along with their bound state energies are obtained.

Journal of Physical Studies•Jan 1, 2022•10 citations
Approximate κ\kappaκ -state solutions of the Dirac equation in spatially dependent mass for the Eckart potential including the Yukawa tensor interaction
We investigate the analytical approximation to arbitrary -state solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential including the Yukawa tensor interaction in the framework of a parametric Nikiforov–Uvarov method. By taking a proper approximation to deal with the centrifugal term, the analytical relativistic energy eigenvalues and the corresponding normalized two-spinor components of the wave function are obtained in closed form. The relativistic and non-relativistic bound state solutions for some special cases, such as the Hulthén potential and the generalized Morse potential, are easily obtained from our general solution.
In the present work, an analytical solution for bound states of the modified Schrödinger equation is found for the new supposed combined Manning-Rosen potential plus the Yukawa class. To overcome the difficulties arising in the case l ≠ 0 in the centrifugal part of the Manning-Rosen potential plus the Yukawa class for bound states, we applied the developed approximation. Analytical expressions for the energy eigenvalue and the corresponding radial wave functions for an arbitrary value l ≠ 0 of the orbital quantum number are obtained. And also obtained eigenfunctions expressed in terms of hypergeometric functions. It is shown that energy levels and eigenfunctions are very sensitive to the choice of potential parameters.
We approximately solve the deformed Dirac equation for a new improved Hulth en plus a class of Yukawa potential including a Coulomb-like tensor interaction (IHCYPCTI for short) in the context of extended relativistic quantum mechanics ERQM symmetries including an improved Coulomb-like tensor interaction with an arbitrary spin-orbit coupling quantum number k.Within the framework of the spin and pseudospin (p-spin) symmetry, we obtain the global new energy eigenvalue which equals the energy eigenvalue in usual relativistic QM plus the corrected energy induced by three innitesimal additive parts of the Hamiltonian corresponding to the spin-orbit interaction, the new modied Zeeman and the rotational Fermi term by using the parametric of Bopp's shift method and standard perturbation theory with an approximation to the centrifugal term.The new values that we got appeared sensitive to the quantum numbers (j, k, l, l, s, s, m, m), the mixed potential depths (A, B), the range of the potential δ, and noncommutativity parameters (Θ, σ, χ).The mixed potential which in some particular cases gives solutions of dierent potentials: the improved Hulth en, the improved Yukawa potential and the improved Coulomb-like problem along with their bound state energies are obtained.