Exact solutions of the radial Schrodinger equation for some physical potentials

被引:78
|
作者
Ikhdair, Sameer M. [1 ,2 ]
Sever, Ramazan [3 ]
机构
[1] Near East Univ, Dept Phys, Nicosia, Cyprus
[2] Near East Univ, Dept Phys, Lefkosa, Turkey
[3] Middle E Tech Univ, Dept Phys, TR-06531 Ankara, Turkey
来源
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2007年 / 5卷 / 04期
关键词
wavefunction ansatz; pseudoharmonic potential; Kratzer's potential; bound-states; eigenvalues and eigenfunctions;
D O I
10.2478/s11534-007-0022-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrodinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained. (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.
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页码:516 / 527
页数:12
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