Approximate solutions of the Dirac equation with position-dependent mass for the Hulthén potential by the asymptotic iteration method

2012 ◽  
Vol 85 (4) ◽  
pp. 045004 ◽  
Author(s):  
F Yasuk ◽  
M K Bahar
Keyword(s):  
Dirac Equation ◽  
Iteration Method ◽  
Approximate Solutions ◽  
Asymptotic Iteration Method ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Dependent Mass ◽  
Position Dependent Mass

scholarly journals Bound state of solution of Dirac-Coulomb problem with spatially dependent mass

Open Physics ◽  
2014 ◽  
Vol 12 (4) ◽  
Author(s):  
Eser Olğar ◽  
Hayder Dhahir ◽  
Haydar Mutaf
Keyword(s):  
Dirac Equation ◽  
Coulomb Potential ◽  
Mass Function ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Bound State Solution ◽  
Function Generator ◽  
Dependent Mass ◽  
And Function ◽  
Position Dependent Mass

AbstractThe bound state solution of Coulomb Potential in the Dirac equation is calculated for a position dependent mass function M(r) within the framework of the asymptotic iteration method (AIM). The eigenfunctions are derived in terms of hypergeometric function and function generator equations of AIM.

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