Exact solutions of the Schrodinger equation with the position-dependent mass for a hard-core potential

被引：80
作者：
Dong, SH [1 ]
Lozada-Cassou, M [1 ]
机构：
[1] Inst Mexicano Petr, Programa Ingn Mol, Mexico City 07730, DF, Mexico
来源：
PHYSICS LETTERS A | 2005年 / 337卷 / 4-6期
关键词：
exact solutions; position-dependent mass; hard-core potential; quantum dots;
D O I：
10.1016/j.physleta.2005.02.008
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The exact solutions of two-dimensional Schrodinger equation with the position-dependent mass for a hard-core potential are obtained. The eigenvalues related to the position-dependent masses mu(1) and mu(2), the potential well depth V-0 and the effective range r(0) can be calculated by the boundary condition. We generalize this quantum system to three-dimensional case. The special cases for l = 0, 1 are studied in detail. For l = 0 and c = 0, we find that the energy levels will increase with the parameters mu(2), V-0 and r(0) if mu(1) > mu(2). 2005 Published by Elsevier B.V.
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页码：313 / 320
页数：8
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