二维各向同性谐振子的连续哈密顿结构
A continuum of Hamiltonian structures for the two-dimensional isotropic harmonic oscillator
摘要:
我们证明了二维各向同性谐振子的连续哈密顿结构的存在性。特别是,连续的哈密顿结构具有非交换坐标。这些结构的对称性进行了研究,并讨论了它们的物理兼容性。
英文摘要:
We show the existence of a continuum of Hamiltonian structures for the two-dimensional isotropic harmonic oscillator. In particular, a continuum of Hamiltonian structures having noncommutative coordinates is presented. A study of the symmetries of these structures is performed and their physical plausibility is discussed.
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