Localization of s-Wave and Quantum Effective Potential of a Quasi-free Particle with Posit

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

JU Guo-Xing;XIANG Yang;REN Zhong-Zhou

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2006(046)011

【摘要】The properties of the s-wave for a quasi-free particle 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 s-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. 【总页数】7页(819-825) 【

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position-dependent

mass;s-wave;Schrodinger of

the

equation;dimensionality

space;localization;eigenfunction;probability density