论文标题
（牛顿）质量和加利利相对性对称性的量子起源
Quantum Origin of (Newtonian) Mass and Galilean Relativity Symmetry
论文作者
论文摘要
Galilei组已被视为“非遗体”物理学（量子或经典）的基本对称性。我们对量子理论的完全分组理论表述方法要求进行一些调整。我们在此处介绍了完整图片的草图，强调了与更熟悉的图片不同的方面。该分析涉及对确切数学与其在动态理论中的物理应用之间的关系进行更仔细的处理，以及比物理文献中通常可用的数学逻辑的更严重的数学逻辑实现。本文总结了我们较早提出的配方，同时着重于以后的部分，并通过调整或校正，对具有（牛顿）质量为Casimir不变的基本表示形式，并且是对称性所决定的。另一个结果是必须排除时间平移对称性，否则禁止粒子之间的相互作用。
The Galilei group has been taken as the fundamental symmetry for 'nonrelativistic' physics, quantum or classical. Our fully group theoretical formulation approach to the quantum theory asks for some adjustments. We present a sketch of the full picture here, emphasizing aspects that are different from the more familiar picture. The analysis involves a more careful treatment of the relation between the exact mathematics and its physical application in the dynamical theories, and a more serious full implementation of the mathematical logic than what is usually available in the physics literature. The article summarizes our earlier presented formulation while focusing on the part beyond, with an adjusted, or corrected, identification of the basic representations having the (Newtonian) mass as a Casimir invariant and the notion of center of mass as dictated by the symmetry. Another result is the necessary exclusion of the time translational symmetry, that otherwise bans interactions between particles.
