article · College Physics · 2012
The Lie symmetries and independent conserved quantities of the three-dimensional anisotropic harmonic oscillator
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Abstract
The Lie symmetries and conserved quantities of the three-dimensional anisotropic harmonic oscillator are studied.When ω1/ω2/ω3 is equal to 3/2/1 and 4/3/1,respectively,the Lie symmetries and conserved quantities of two typical three-dimensional anisotropic harmonic oscillators are also studied,and seven conserved quantites are obtained.By discussing the independence of the conserved quantities,we find that only five of them are independent.
Cite this paper
Chen, Z. (2012). The Lie symmetries and independent conserved quantities of the three-dimensional anisotropic harmonic oscillator. College Physics.
Chen, Zidong. “The Lie symmetries and independent conserved quantities of the three-dimensional anisotropic harmonic oscillator.” College Physics, 2012.
Chen, Zidong. 2012. “The Lie symmetries and independent conserved quantities of the three-dimensional anisotropic harmonic oscillator.” College Physics.
Chen, Z. (2012) ‘The Lie symmetries and independent conserved quantities of the three-dimensional anisotropic harmonic oscillator’, College Physics.
@article{chen2012symmetries,
title = {{The Lie symmetries and independent conserved quantities of the three-dimensional anisotropic harmonic oscillator}},
author = {Chen, Zidong},
journal = {College Physics},
year = {2012}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.