EXACT BOUND STATES OF THE D-DIMENSIONAL KLEIN-GORDON EQUATION WITH EQUAL SCALAR AND VECTOR RING-SHAPED PSEUDOHARMONIC POTENTIAL

被引：58

作者：

Ikhdair, Sameer M. ^{[1
]}

Sever, Ramazan ^{[2
]}

机构：

[1] Near East Univ, Dept Phys, Nicosia, Cyprus

[2] Middle E Tech Univ, Dept Phys, TR-06531 Ankara, Turkey

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2008年 / 19卷 / 09期

关键词：

Bound states; energy eigenvalues and eigenfunctions; Klein Gordon equation; pseudoharmonic potential; ring-shaped potential; non-central potentials; Nikiforov and Uvarov method;

D O I：

10.1142/S0129183108012923

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present the exact solution of the Klein Gordon equation in D-dimensions in the presence of the equal scalar and vector pseudoharmonic potential plus the ring-shaped potential using the Nikiforov-Uvarov method. We obtain the exact bound state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution for this ring-shaped pseudoharmonic potential can be reduced to the three-dimensional (3D) pseudoharmonic solution once the coupling constant of the angular part of the potential becomes zero.

引用

页码：1425 / 1442

页数：18

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