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

作     者：CHEN Gang,~(1,2,+) XUAN Pei-Cai,~3 and CHEN Zi-Dong~1 ~1Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China ~2Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China ~3Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China 

出 版 物：《Communications in Theoretical Physics》 (理论物理(英文版))

年 卷 期：2006年第7期

页      面：39-42页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 070205[理学-凝聚态物理] 08[工学] 0702[理学-物理学] 

基　　金：The project supported by the Natural Science Foundation of Zhejiang Province of China under Grant No. Y605037 

主　　题：Schrodinger equation position-dependent effective mass standard WKB quantization supersymmetric WKB quantization 

摘      要：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.