Generation of Exactly Solvable Potentials of Position-Dependent Mass Schrödinger Equation from Hulthen Potential

• 作者: Hangshadhar Rajbongshi Ngangkham Nimai Singh
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Position-Dependent Mass Hulthen POTENTIAL Co-Ordinate TRANSFORMATION Extended TRANSFORMATION EXACT ANALYTIC Solution
• 年，卷（期）: 2013,（11）
• 页码范围: 1540-1545
• 页数: 6页
• 分类号: O1

摘要

Exactly Solvable Potentials (ESPs) of Position-Dependent Mass (PDM) Schrodinger equation are generated from Hulthen Potential (parent system) by using Extended Transformation (ET) method. The method includes a Co-ordinate Transformation (CT) followed by Functional Transformation (FT) of wave function. Mass function of parent system gets transformed to that of generated system. Two new ESPs are generated. The explicit expressions of mass functions, energy eigenvalues and corresponding wave functions for newly generated potentials (systems) are derived. System specific regrouping method is also discussed.