Exact solution for a harmonic oscillator with a time.-dependent inverse square potential by-path-integral

被引：4

作者：

Wang, P ^{[1
]}

Yang, XE ^{[1
]}

Song, XH ^{[1
]}

机构：

[1] Tianjin Univ, Sch Sci, Dept Appl Phys, Tianjin 300072, Peoples R China

来源：

ACTA PHYSICA SINICA | 2003年 / 52卷 / 12期

关键词：

harmonic oscillator; coordinate-transformation; path-integral; propagator;

D O I：

10.7498/aps.52.2957

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using coordinate-transformation we transformed a harmonic oscillator with time-dependent mass and a time-dependent inverse potential into a harmonic oscillator with time-independent mass and a time-independent inverse potential accordingly. In terms of the relation between these two different harmonic oscillators' propagators we derived the exact wavefunction of the former by Feynman path-integral. We also discussed the harmonic oscillator with more additional potentials.

引用

页码：2957 / 2960

页数：4

共 14 条

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