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粒子数表象中谐振子微扰问题的研究
引用本文:杨子义,谢泉.粒子数表象中谐振子微扰问题的研究[J].信阳师范学院学报(自然科学版),2010,23(2).
作者姓名:杨子义  谢泉
作者单位:1. 贵州大学,理学院,新型光电子材料与技术研究所,贵州,贵阳,550025;贵阳学院,物电系,贵州,贵阳,550005
2. 贵州大学,理学院,新型光电子材料与技术研究所,贵州,贵阳,550025
基金项目:国家自然科学基金项目,科技部国际合作重点项目,贵州省信息产业厅项目,贵阳学院科学研究项目,贵阳市科技计划项目 
摘    要:在粒子数表象中计算受微扰谐振子能级和波函数的近似值,计算过程简单,在坐标表象中计算过程相当繁杂.通过举例分析得出了在粒子数表象中求解谐振子微扰问题的适用条件.

关 键 词:粒子数表象  谐振子  坐标表象  微扰

Study on Perturbed Harmonic Oscillator by Particle-Number Representation
YANG Zi-yi,XIE Quan.Study on Perturbed Harmonic Oscillator by Particle-Number Representation[J].Journal of Xinyang Teachers College(Natural Science Edition),2010,23(2).
Authors:YANG Zi-yi    XIE Quan
Institution:YANG Zi-yi1,2,XIE Quan1*(1.College of Science,Institute of Advanced Optoelectronic Materials , Technology,Guizhou University,Guiyang 550025,China,2.Department of Physics , Electronic Science,Guiyang University,Guiyang 550005,China)
Abstract:Perturbed harmonic oscillator's approximate values of energy level and wave function could be easily calculated by particle-number representation.The proccess is very complicated if it is calculated by coordinate representation.The applicability to solve perturbation of harmonic oscillator by particle-number representation is ascertained due to the study on a example.
Keywords:particle-number representation  harmonic oscillator  coordinate representation  perturbation  
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