用参数微扰法求解非线性谐振子问题  

Solving eigenvalues of nonlinear harmonic oscillators by parameter perturbation method

作　　者：吴锋 黄备兵[1] 孟丽娟 WU Feng;Huang Beibing;MENG Lijuan(Department of Physics,Yancheng Institute of Technology,Yancheng,Jiangsu 224051,China)

机构地区：[1]盐城工学院物理系,江苏盐城224051

出　　处：《大学物理》2018年第5期35-38,共4页College Physics

基　　金：国家自然科学基金项目(11647071;11547047);江苏省自然科学基金项目(BK20160435)资助

摘　　要：用参数微扰法求解了一维非线性谐振子及二维非线性耦合谐振子的一级近似本征能量.计算表明,参数微扰法的基态和激发态结果比相应的无参数微扰法的一级近似甚至多级近似结果精度有显著提高.Eigenvalues of one-dimensional and two-dimensional nonlinear harmonic oscillators are computedby using the parameter perturbation method. The calculated first-level approximate results are shown to be significantly superior to the corresponding first-level and even higher-level results obtained from the parameter-free perturbation method.

关 键 词：参数微扰法 非线性谐振子 本征能量 

分 类 号：O413.1[理学—理论物理]