论文标题
可整合变形振荡器的对称性和运动积分
Symmetries and integrals of motion of a superintegrable deformed oscillator
论文作者
论文摘要
讨论了在Physica D237（2008）505中引入的Twodirensional非线性各向同性振荡器的对称结构。结果表明，它具有三个独立的运动积分，可以根据总能量值跨越SU（2），E（2），E（2）或SU（1,1）代数。它们产生了无限的规范对称性转换。分析了后者的一体性。然后将结果推广到任意数量的自由度。
The symmetry structure of twodimensional nonlinear isotropic oscillator, introduced in Physica D237 (2008) 505, is discussed. It is shown that it possesses three independent integrals of motion which can be chosen in such a way that they span SU(2), E(2) or SU(1,1) algebras, depending on the value of total energy. They generate the infinitesimal canonical symmetry transformations; integrability of the latter is analyzed. The results are then generalized to the case of arbitrary number of degrees of freedom.
