scholarly journals Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier

2012 ◽  
Vol 50 (7) ◽  
pp. 1920-1930 ◽  
Author(s):  
Altuğ Arda ◽  
Ramazan Sever
Keyword(s):  
Analytical Solutions ◽  
Centrifugal Barrier ◽  
Molecular Potential ◽  
Approximate Analytical Solutions ◽  
Diatomic Molecular Potential

Approximate Analytical Solutions of the Perturbed Yukawa Potential with Centrifugal Barrier

2013 ◽  
Vol 68 (6-7) ◽  
pp. 454-460 ◽  
Author(s):  
Ali Akbar Rajabi ◽  
Majid Hamzavi
Keyword(s):  
Analytical Solutions ◽  
Yukawa Potential ◽  
Energy Levels ◽  
Centrifugal Barrier ◽  
Energy Eigenvalues ◽  
Approximate Analytical Solutions ◽  
Screening Parameter ◽  
Radial Schrödinger Equation ◽  
Type Potential ◽  
Coulomb Potentials

By using the generalized parametric Nikiforov-Uvarov (NU) method, we have obtained the approximate analytical solutions of the radial Schrödinger equation for a perturbed Yukawa potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented and compared with the standard Yukawa potential. Further, we found the energy levels of the familiar Mie-type potential when the screening parameter of the perturbed Yukawa potential goes to zero, and finally, standard Yukawa and Coulomb potentials are discussed.

Approximate analytical solutions of stability problems for skew plates under combined loading

2011 ◽  
Vol 54 (2) ◽  
pp. 115-124 ◽  
Author(s):  
N. I. Akishev ◽  
I. I. Zakirov ◽  
V. A. Ivanov ◽  
V. N. Paimushin ◽  
M. A. Shishov
Keyword(s):  
Analytical Solutions ◽  
Combined Loading ◽  
Stability Problems ◽  
Approximate Analytical Solutions
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