The Localization of $s$-Wave and Quantum Effective Potential of a Quasi-Free Particle with Position-Dependent Mass
| Autor: | Zhong-Zhou Ren, Guo-Xing Ju, Yang Xiang |
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| Rok vydání: | 2006 |
| Předmět: | |
| DOI: | 10.48550/arxiv.quant-ph/0601005 |
| Popis: | 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. Comment: 12pages, 8 figures |
| Databáze: | OpenAIRE |
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