Solving eigenvalues of nonlinear harmonic oscillators by parameter perturbation method

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

doi:10.16854 /j.cnki.1000-0712.170390

College Physics >

2018 , Vol. 37 >Issue 5: 35 - 38

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.170390

Solving eigenvalues of nonlinear harmonic oscillators by parameter perturbation method

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

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Department of Physics，Yancheng Institute of Technology，Yancheng，Jiangsu 224051，China

Received date: 2017-03-21

Revised date: 2017-10-16

Online published: 2018-05-20

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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

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WU Feng , Huang Bei-bing , MENG Li-juan . Solving eigenvalues of nonlinear harmonic oscillators by parameter perturbation method[J]. College Physics, 2018 , 37(5) : 35 -38 . DOI: 10.16854 /j.cnki.1000-0712.170390

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