| Semiclassical Method to Schroedinger Equation with Position-Dependent Effective Mass |
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| 引用本文： | CHEN Gang XUAN Pei-Cai CHEN Zi-Dong. Semiclassical Method to Schroedinger Equation with Position-Dependent Effective Mass[J]. 理论物理通讯, 2006, 46(1): 39-42 |
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| 作者姓名： | CHEN Gang XUAN Pei-Cai CHEN Zi-Dong |
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| 作者单位： | [1]Department of Physics,Shaoxing College of Arts and Sciences, Shaoxing 3120001 China [2]Institute of Theoretical Physics, Shanxi University, Taiyuan 0300061 China [3]Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 3120001 China |
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| 基金项目： | The project supported by the Natural Science Foundation of Zhejiang Province of China under Grant No. Y605037 . |
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| 摘 要： |
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| 关 键 词： | Schroedinger方程 标准WKB量子化 超相称性WKB量子化 理论物理 |
| 收稿时间： | 2005-09-08 |
| 修稿时间： | 2005-09-082006-02-16 |
Semiclassical Method to Schroedinger Equation with Position-Dependent Effective Mass |
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| CHEN;Gang;XUAN;Pei-Cai;CHEN;Zi-Dong. Semiclassical Method to Schroedinger Equation with Position-Dependent Effective Mass[J]. Communications in Theoretical Physics, 2006, 46(1): 39-42 |
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| Authors: | CHEN Gang XUAN Pei-Cai CHEN Zi-Dong |
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| Abstract: | In this paper, two novel semiclassical methods including the standard and supersymmetric WKB quantization conditions are suggested to discuss the Schroedinger equation with position-dependent effective mass. From a proper coordinate transformation, the formalism of the Schroedinger 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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| Keywords: | Schroedinger equation position-dependent effective mass standard WKB quantization supersymmetric WKB quantization |
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