| 双模耦合谐振子哈密顿量的一般解法 |
| |
| 引用本文： | 石国芳,惠小强,陈文学. 双模耦合谐振子哈密顿量的一般解法[J]. 大学物理, 2008, 27(4): 7-9 |
| |
| 作者姓名： | 石国芳 惠小强 陈文学 |
| |
| 作者单位： | 西安邮电学院,应用数理系,陕西,西安,710061;西安邮电学院,应用数理系,陕西,西安,710061;西安邮电学院,应用数理系,陕西,西安,710061 |
| |
| 基金项目： | 西安邮电学院校科研和教改项目 |
| |
| 摘 要： | 双模耦合谐振子哈密顿量是广义坐标■和广义动量■的一般二次型,通过一个坐标变换可以将其表示为新基底下的标准二次型,经计算得知,新基底之间满足准正则对易关系,从而引入准粒子的产生和湮没算符,这样就消除了耦合项,哈密顿量化简成为双模独立谐振子情形,使问题得到解决.这样的解决方法可以推广到各向异性n模谐振子的耦合体系.
|
| 关 键 词： | 哈密顿量 耦合 谐振子 |
| 文章编号： | 1000-0712(2008)04-0007-03 |
| 修稿时间： | 2007-04-17 |
General solving method of two modes coupled harmonic oscillators |
| |
| SHI Guo-fang,XI Xiao-qiang,CHEN Wen-xue. General solving method of two modes coupled harmonic oscillators[J]. College Physics, 2008, 27(4): 7-9 |
| |
| Authors: | SHI Guo-fang XI Xiao-qiang CHEN Wen-xue |
| |
| Abstract: | Hamiltonian of two modes coupled harmonic oscillators is general quadric form of generalized coordinates and momenta.After coordinate transformation,it can be expressed as standard quadric form under new bases.Because canonical commutation relation is satisfied among new coordinates,creation operator and annihilation operator are introduced.Thus,coupling between modes is eliminated and Hamiltonian can be simplified as two mode independent harmonic oscillators,problem is solved.This method can be generalized in solving non-identical n modes coupled harmonic oscillators. |
| |
| Keywords: | Hamiltonian coupling harmonic oscillator |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
