Semiclassical Method to Schr(?)dinger Equation with Position-Dependent Effective Mass

被引：0
作者：
CHEN Gang XUAN PeiCai and CHEN ZiDong Department of Physics Shaoxing College of Arts and Sciences Shaoxing China Institute of Theoretical Physics Shanxi University Taiyuan China Department of Mathematics Shaoxing College of Arts and Sciences Shaoxing China [1 ,2 ,3 ,1 ,1 ,312000 ,2 ,30006 ,3 ,312000 ]
机构：
来源：
Communications in Theoretical Physics | 2006年 / 46卷 / 07期
关键词：
Schrodinger equation; position-dependent effective mass; standard WKB quantization; supersymmetric WKB quantization;
D O I：
暂无
中图分类号：
O413.1 [量子力学（波动力学、矩阵力学）];
学科分类号：
070205 ; 0809 ;
摘要：
<正> In this paper, two novel semiclassical methods including the standard and supersymmetric WKB quantiza-tion conditions are suggested to discuss the Schrodinger equation with position-dependent effective mass. From a proper coordinate transformation, the formalism of the Schrodinger equation with position-dependent effective mass is mapped into isospectral one with constant mass and therefore for a given mass distribution and physical potential function the bound state energy spectrum can be determined easily by above method associated with a simple integral formula. It is shown that our method can give the analytical results for some exactly-solvable quantum systems.
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页码：39 / 42
页数：4
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