物理学报2012，Vol.61Issue(11)：21-26,6.
二维各向异性谐振子的第三个独立守恒量及其对称性
The third independent conserved quantity and its symmetry of the two-dimensional anisotropic harmonic oscillator
摘要
Abstract
The energy and the two partial energies of two-dimensional anisotropic harmonic oscillator are conserved quantities, but only two of them are independent. The system possesses the third independent conserved quantity when the ω1/ω2 is a rational number. The extended Prelle-Singer method is used to find the third independent conserved quantity for the five typical two-dimensional anisotropic harmonic oscillators. The Noether symmetry and the Lie symmetry of the third independent conserved quantities are also discussed.关键词
扩展Prelle-Singer法/二维各向异性谐振子/守恒量/对称性Key words
extended P-S method/two-dimensional anisotropic harmonic oscillator/conserved quantity/symmetry分类
数理科学引用本文复制引用
楼智美,梅凤翔..二维各向异性谐振子的第三个独立守恒量及其对称性[J].物理学报,2012,61(11):21-26,6.基金项目
国家自然科学基金重点项目（批准号：10932002）资助的课题. （）
