Exact Solutions of Schrodinger Equation for the Position-Dependent Effective Mass Harmonic Oscillator

被引：32

作者：

Amir, Naila ^{[1
]}

Iqbal, Shahid ^{[1
]}

机构：

[1] Natl Univ Sci Technol, Sch Nat Sci, Islamabad, Pakistan

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2014年 / 62卷 / 06期

关键词：

nonlinear harmonic oscillator; position-dependent effective mass system; Schrodinger equation modified Hermite polynomials; WAVE-PACKET REVIVAL; SUPERSYMMETRIC APPROACH; ALGEBRAIC APPROACH; SERIES SOLUTIONS; QUANTUM-SYSTEMS; STATES; HETEROSTRUCTURES; POTENTIALS; GENERATION; PARTICLES;

D O I：

10.1088/0253-6102/62/6/03

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A one-dimensional harmonic oscillator with position-dependent effective mass is studied. We quantize the oscillator to obtain a quantum Hamiltonian, which is manifestly Hermitian in configuration space, and the exact solutions to the corresponding Schrodinger equation are obtained analytically in terms of modified Hermite polynomials. It is shown that the obtained solutions reduce to those of simple harmonic oscillator as the position dependence of the mass vanishes.

引用

页码：790 / 794

页数：5

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