Localization of s-Wave and Quantum Effective Potential of a Quasi-free Particle with Position-Dependent Mass

作     者：JU Guo-Xing XIANG Yang REN Zhong-Zhou 

作者机构：Department of Physics Nanjing University Nanjing 210093 China 

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

年 卷 期：2006年第46卷第5X期

页      面：819-825页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The project supported by National Natural Science Foundation of China for Distinguished Young Scientists under Grant No. 10125521  the Doctoral Fund of Ministry of Education of China under Grant No. 20010284036  the State Key Basic Research Development Program under Grant No. G2000077400  the Knowledge Innovation Project of the Chinese Academy of Sciences under Grant No. KJCX2-SW-N02  and National Natural Science Foundation of China under Grant No. 60371013 

主　　题：position-dependent mass s-wave Schrodinger equation dimensionality of the space localization eigenfunction probability density 

摘      要：The properties of the 8-wave for a quasl-free partide with position-dependent mass （PDM） have been discussed in details. Differed from the system with constant mass in which the localization of the s-wave for the free quantum particle around the origin only occurs in two dimensions, the quasi-free particle with PDM can experience attractive forces in D dimensions except D = 1 when its mass function satisfies some conditions. The effective mass of a particle varying with its position can induce effective interaction, which may be attractive in some cases. The analytical expressions of the eigenfunctions and the corresponding probability densities for the 8-waves of the two- and three-dimensional systems with a special PDM are given, and the existences of localization around the origin for these systems are shown.