论文标题
来自Galilei集团统一表示的经典动力
Classical dynamics from a unitary representation of the Galilei group
论文作者
论文摘要
我们用在希尔伯特空间的操作员的语言中提供了古典力学的表述。所给出的公式来自Galilei群的单一不可减至表示，该表示与经典力学的基本假设兼容，尤其是粒子的位置和动量之间的不确定性原理。结果表明，本文所揭示的理论包含了特定情况的古典力学的Koopman-Von Neumann形式主义。
We give a formulation of classical mechanics in the language of operators acting on a Hilbert space. The formulation given comes from a unitary irreducible representation of the Galilei group that is compatible with the basic postulates of classical mechanics, particularly the absence of an uncertainty principle between the position and momentum of a particle. It is shown that the theory exposed in the article contains the Koopman-von Neumann formalism of classical mechanics as a particular case.
