Non-hypergeometric Type of Polynomials and Solutions of Schrodinger Equation with Position-Dependent Mass

被引：1

作者：

Ju Guo-Xing ^{[1
]}

机构：

[1] Nanjing Univ, Coll Phys, Nanjing 210093, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 56卷 / 02期

关键词：

Schrodinger equation; position-dependent mass; eigenfunction; eigenvalue; coordinate transformation method; polynomials solution; NONZERO MINIMAL UNCERTAINTIES; SHAPE-INVARIANT POTENTIALS; SOLVABLE POTENTIALS; HARMONIC-OSCILLATOR; SUPERSYMMETRIC APPROACH; QUANTUM-MECHANICS; WAVE; TRANSFORMATION; GENERATION; ALGEBRAS;

D O I：

10.1088/0253-6102/56/2/07

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the coordinate transformation method, we study the polynomial solutions of the Schrodinger equation with position-dependent mass (PDM). The explicit expressions for the potentials, energy eigenvalues, and eigenfunctions of the systems are given. The issues related to normalization of the wavefunctions and Hermiticity of the Hamiltonian are also analyzed.

引用

页码：235 / 240

页数：6

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