scholarly journals Pseudospin symmetry in the relativistic Manning–Rosen potential including a Pekeris-type approximation to the pseudo-centrifugal term

2010 ◽  
Vol 686 (4-5) ◽  
pp. 288-292 ◽  
Author(s):  
Gao-Feng Wei ◽  
Shi-Hai Dong
Keyword(s):  
Pseudospin Symmetry ◽  
Centrifugal Term ◽  
Type Approximation ◽  
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.

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.

Approximate non-relativistic energy expression and the rotational–vibrational constants of the Tietz–Hua potential: a semiclassical approach

2020 ◽  
Vol 98 (11) ◽  
pp. 683-689
Author(s):  
Ekwevugbe Omugbe
Keyword(s):  
Experimental Data ◽  
Approximation Scheme ◽  
Energy Levels ◽  
Quantum States ◽  
Energy Spectra ◽  
Relativistic Energy ◽  
Centrifugal Term ◽  
Semiclassical Approach ◽  
Type Approximation ◽  
Vibrational Constants

The low- and high-lying rovibrational energy levels of the Schrodinger equation with the molecular Tietz–Hua potential are obtained via the Wentzel–Kramers–Brilluoin (WKB) quantization approach. The Pekeris-type approximation scheme is applied to deal with the orbital centrifugal term of the effective potential function. The obtained energy spectra and the rotational–vibrational (rovibrational) coefficients for [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] diatomic molecules were compared with the ones obtained by other analytical methods and available experimental data in the literature. The results revealed that the accuracy of the energy spectra for the high-lying rovibrational quantum states may depend on the rotational-vibrational constants.

APPROXIMATE ANALYTICAL SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE MANNING–ROSEN POTENTIAL MODEL

2009 ◽  
Vol 24 (23) ◽  
pp. 1863-1874 ◽  
Author(s):  
ZHAO-YOU CHEN ◽  
MIN LI ◽  
CHUN-SHENG JIA
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Approximation Scheme ◽  
Function Analysis ◽  
Bound State ◽  
Centrifugal Term ◽  
Radial Wave ◽  
Analytical Results ◽  
Approximate Analytical Solutions ◽  
Rosen Potential

By approximating the centrifugal term in terms of a new approximation scheme, we solve the Schrödinger equation with the arbitrary angular momentum for the Manning–Rosen potential. The bound state energy eigenvalues and the unnormalized radial wave functions have been approximately obtained by using the supersymmetric shape invariance approach and the function analysis method. The numerical experiments show that our approximate analytical results are in better agreement with those obtained by using the numerical integration procedure than the analytical results obtained by using the conventional approximation scheme to deal with the centrifugal term.

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