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具有含时平方反比项的谐振子的路径积分求解
Exact solution for a harmonic oscillator with a time-dependent inverse square potential by path-integral
【摘要】 使用含时坐标变换把一个质量含时的带有平方反比项的谐振子系统变换为对应的质量不含时谐振子系统 .利用变换前、后传播子之间的关系并通过Feynman路径积分的方法求出质量含时的带有平方反比项的谐振子系统的传播子与精确波函数 .并对包含有更多的附加势的谐振子系统进行了讨论 .
【Abstract】 Using coordinate-transformation we transformed a harmonic oscillator with ti me-dependent mass and a time-dependent inverse potential into a harmonic oscil la tor with time-independent mass and a time-independent inverse potential accord in gly. In terms of the relation between these two different harmonic oscillators’ propagators we derived the exact wavefunction of the former by Feynman path-int egral. We also discussed the harmonic oscillator with more additional potentials .
【关键词】 谐振子;
坐标变换;
路径积分;
传播子;
【Key words】 harmonic oscillator; coordinate-trans formation; path-integral; propagator;
【Key words】 harmonic oscillator; coordinate-trans formation; path-integral; propagator;
【基金】 南开大学资助;天津大学刘徽应用数学中心资助的课题
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2003年12期
- 【分类号】O413.1
- 【被引频次】9
- 【下载频次】121