非对易量子力学与伽利略各向同性相容性的研究
A study of the consistency between noncommutative quantum mechanics and Galilean isotropy
摘要：
本文证明了在具有伽利略对称群的平面非对易几何上所建立的最简单的量子力学模型与空间各向同性假设是不相容的，其中位置和线性动量变分算子在动力学变量中是一阶的（从而构成一个真李代数）.
英文摘要：
A demonstration is given that the simplest model of quantum mechanics formulated on a plane non-commutative geometry endowed with a Galilean symmetry group in which the position and linear momentum-variable commutators are first order in the dynamical variables (and thus constitute a true Lie algebra) is incompatible with the hypothesis of spacial isotropy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
