College Physics ›› 2018, Vol. 37 ›› Issue (5): 35-38.doi: 10.16854 /j.cnki.1000-0712.170390

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Solving eigenvalues of nonlinear harmonic oscillators by parameter perturbation method

WU Feng,Huang Bei-bing,MENG Li-juan   

  1. Department of Physics,Yancheng Institute of Technology,Yancheng,Jiangsu 224051,China
  • Received:2017-03-21 Revised:2017-10-16 Online:2018-05-20 Published:2018-05-20

Abstract: Eigenvalues of one-dimensional and two-dimensional nonlinear harmonic oscillators are computed by using the parameter perturbation method. The calculated first-level approximate results are shown to be significantly superior to the corresponding first-level and even higher-level results obtained from the parameter-free perturbation method.

Key words: parameter perturbation method, nonlinear harmonic oscillator, eigenvalue