ANY l-STATE ANALYTICAL SOLUTIONS OF THE KLEIN-GORDON EQUATION FOR THE WOODS-SAXON POTENTIAL

被引:45
|
作者
Badalov, V. H. [1 ]
Ahmadov, H. I. [2 ]
Badalov, S. V. [3 ]
机构
[1] Baku State Univ, Inst Phys Problems, AZ-1148 Baku, Azerbaijan
[2] Baku State Univ, Dept Math Phys, Fac Appl Math & Cybernet, AZ-1148 Baku, Azerbaijan
[3] Bilkent Univ, Dept Phys, TR-06800 Ankara, Turkey
关键词
Klein-Gordon equation; Nikiforov-Uvarov method; Pekeris approximation; exact solutions;
D O I
10.1142/S0218301310015862
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
The radial part of the Klein-Gordon equation for the Woods-Saxon potential is solved. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for any l-states. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained on the various values of the quantum numbers n and l. The nonrelativistic limit of the bound state energy spectrum was also found.
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页码:1463 / 1475
页数:13
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