Semi-infinite Quantum Wells In a Position-Dependent Mass Background

被引：0
|
作者：
C. Quesne
机构：
[1] Université Libre de Bruxelles,Physique Nucléaire Théorique et Physique Mathématique
来源：
Quantum Studies: Mathematics and Foundations | 2023年 / 10卷
关键词：
Schrödinger equation; Position-dependent mass; Quantum well; Point canonical transformation; 81Q05; 81Q80;
D O I：
暂无
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学科分类号：
摘要：
Using a point canonical transformation starting from the constant-mass Schrödinger equation for the Morse potential, it is shown that a semi-infinite quantum well model with a non-rectangular profile associated with a position-dependent mass that becomes infinite for some negative value of the position, while going to a constant for a large positive value of the latter can be easily derived. In addition, another type of semi-infinite quantum well associated with the same position-dependent mass is constructed and solved by starting from the Rosen-Morse II potential instead of the Morse one.
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页码：237 / 244
页数：7
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