On the quasi-exact solvability of a singular potential in D-dimensions: confined and unconfined

被引：1
|
作者：
Mustafa, O [1 ]
机构：
[1] Eastern Mediterranean Univ, Dept Phys, Mersin 10, Turkey
来源：
CZECHOSLOVAK JOURNAL OF PHYSICS | 2002年 / 52卷 / 03期
关键词：
quasi-exact solvability; D-dimensional Schrodinger equation; confined and unconfined quantum systems; boxed anharmonic oscillators;
D O I：
10.1023/A:1015425301283
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The D-dimensional quasi-exact solutions for the singular even-power anharmonic potential V(q) = aq2+bq-4+cq-6 are reported. We show that whilst Dong and Ma'S [J. Phys. A, Vol. 31 (1998) 9855] quasi-exact ground-state solution (in D = 2) is beyond doubt, their solution for the first excited state is exotic. Quasi-exact solutions for the ground and first excited states are also given for the above potential confined to an impenetrable cylindrical (D = 2) or spherical (D = 3) wall.
引用
收藏
页码：351 / 355
页数：5
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