Analytical solutions of the Proca equation for modified Manning–Rosen potential with centrifugal term and direct coupling approaches by hypergeometric method

2020 ◽  
Author(s):  
Oky Rio Pamungkas ◽  
A. Suparmi ◽  
C. Cari ◽  
M. Ma’arif
Keyword(s):  
Analytical Solutions ◽  
Direct Coupling ◽  
Centrifugal Term ◽  
Proca Equation ◽  
Rosen Potential

scholarly journals Spin and Pseudospin Symmetry in Generalized Manning-Rosen Potential

2015 ◽  
Vol 2015 ◽  
pp. 1-17 ◽  
Author(s):  
Hilmi Yanar ◽  
Ali Havare
Keyword(s):  
Dirac Equation ◽  
Bound States ◽  
Pseudospin Symmetry ◽  
Molecular Structures ◽  
Centrifugal Term ◽  
Term Energy ◽  
Energy Relations ◽  
Rosen Potential ◽  
Uvarov Method ◽  
Pekeris Approximation

Spin and pseudospin symmetric Dirac spinors and energy relations are obtained by solving the Dirac equation with centrifugal term for a new suggested generalized Manning-Rosen potential which includes the potentials describing the nuclear and molecular structures. To solve the Dirac equation the Nikiforov-Uvarov method is used and also applied the Pekeris approximation to the centrifugal term. Energy eigenvalues for bound states are found numerically in the case of spin and pseudospin symmetry. Besides, the data attained in the present study are compared with the results obtained in the previous studies and it is seen that our data are consistent with the earlier ones.

Actual and general Manning–Rosen potentials under spin and pseudospin symmetries of the Dirac equation

2012 ◽  
Vol 90 (7) ◽  
pp. 633-646 ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
S. Zarrinkamar ◽  
H. Rahimov
Keyword(s):  
Quantum Mechanics ◽  
Dirac Equation ◽  
Comparative Study ◽  
Analytical Solutions ◽  
Tensor Interaction ◽  
Centrifugal Term ◽  
Supersymmetry Quantum Mechanics

The so-called general and actual Manning–Rosen potentials have been investigated under spin and pseudospin symmetries of the Dirac equation in a comparative study. By approximating the centrifugal term, we have reported the analytical solutions to the problem via supersymmetry quantum mechanics. Illustrative figures and tables are included to discuss the problem in detail. The role of a Coulomb tensor interaction is investigated too. We see that the degenerate doublets are the same in both cases.

Spin-one Duffin–Kemmer–Petiau equation in the presence of Manning–Rosen potential plus a ring-shaped-like potential

2014 ◽  
Vol 92 (6) ◽  
pp. 465-471 ◽  
Author(s):  
H. Hassanabadi ◽  
M. Kamali ◽  
B.H. Yazarloo
Keyword(s):  
Jacobi Polynomials ◽  
Dimensional Space ◽  
Space Time ◽  
Numerical Results ◽  
Centrifugal Term ◽  
Exponential Approximation ◽  
3 Dimensional ◽  
Dimensional Space Time ◽  
Rosen Potential ◽  
Uvarov Method

We present the solution of the Duffin–Kemmer–Petiau equation for Manning–Rosen potential plus a ring-shaped-like potential in (1+3)-dimensional space–time for spin-one particles within the framework of an exponential approximation for the centrifugal term. We have used the Nikiforov–Uvarov method in our calculations. The radial wavefunction and the angular wavefunctions are expressed in terms of Jacobi polynomials. We have also represented some numerical results for the Manning–Rosen potential plus a ring-shaped-like potential.

scholarly journals ANALYTICAL SOLUTIONS OF THE KLEIN–FOCK–GORDON EQUATION WITH THE MANNING–ROSEN POTENTIAL PLUS A RING-SHAPED LIKE POTENTIAL

2014 ◽  
Vol 29 (01) ◽  
pp. 1450002 ◽  
Author(s):  
A. I. AHMADOV ◽  
C. AYDIN ◽  
O. UZUN
Keyword(s):  
Orthogonal Polynomials ◽  
Analytical Solutions ◽  
Vector Potential ◽  
Gordon Equation ◽  
Energy Levels ◽  
Scalar Potential ◽  
Bound State ◽  
Hulthén Potential ◽  
Rosen Potential ◽  
Uvarov Method

In this work, on the condition that scalar potential is equal to vector potential, the bound state solutions of the Klein–Fock–Gordon equation of the Manning–Rosen plus ring-shaped like potential are obtained by Nikiforov–Uvarov method. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary l states. The conclusion also contain central Manning–Rosen, central and noncentral Hulthén potential.

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